// Numbas version: exam_results_page_options {"metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": ""}, "navigation": {"showfrontpage": true, "browse": true, "reverse": true, "preventleave": true, "showresultspage": "oncompletion", "onleave": {"message": "", "action": "none"}, "allowregen": true}, "showstudentname": true, "percentPass": 0, "feedback": {"showactualmark": true, "showanswerstate": true, "advicethreshold": 0, "showtotalmark": true, "allowrevealanswer": true, "intro": "", "feedbackmessages": []}, "question_groups": [{"name": "Group", "pickQuestions": 1, "pickingStrategy": "all-ordered", "questions": [{"name": "1. Indices part 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "functions": {}, "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "variables": {"b0": {"description": "", "definition": "random(2..9 except a0)", "group": "Ungrouped variables", "templateType": "anything", "name": "b0"}, "b1": {"description": "", "definition": "random(2..9 except a1)", "group": "Ungrouped variables", "templateType": "anything", "name": "b1"}, "c4": {"description": "", "definition": "random(2..9 except a4 b4)", "group": "Ungrouped variables", "templateType": "anything", "name": "c4"}, "a4": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a4"}, "a0": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a0"}, "a3": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a3"}, "a1": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a1"}, "b4": {"description": "", "definition": "random(2..9 except a4)", "group": "Ungrouped variables", "templateType": "anything", "name": "b4"}, "b3": {"description": "", "definition": "random(2..9 except a3)", "group": "Ungrouped variables", "templateType": "anything", "name": "b3"}, "a2": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a2"}, "b2": {"description": "", "definition": "random(2..9 except a2)", "group": "Ungrouped variables", "templateType": "anything", "name": "b2"}}, "variable_groups": [], "statement": "

Simplify the following by writing as a single power in the form $x^n$ or further if possible.

You can input $x^n$ as $x$^n

", "metadata": {"licence": "None specified", "description": ""}, "advice": "", "rulesets": {}, "ungrouped_variables": ["a0", "b0", "a1", "b1", "a2", "b2", "a3", "b3", "a4", "b4", "c4"], "parts": [{"type": "jme", "answer": "x^{a0+b0}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$x^\\var{a0}\\times x^\\var{b0}$

$x^\\var{a1}\\times x^\\var{b1}$

$e^\\var{a2}\\times e^\\var{b2}$

$y^\\var{a3}\\times y^\\var{b3}$

$bob^\\var{a4}\\times bob^\\var{b4}\\times bob^\\var{c4}$

$\\frac{x^\\var{a4}}{ x^\\var{b2}}$

$\\frac{x^\\var{a0}}{ x^\\var{b1}}$

$\\frac{z^\\var{a3}}{ z^\\var{b2}}$

$\\frac{x^\\var{a2}\\times x^\\var{c4}}{ x^\\var{b0}}$

$\\frac{x^\\var{a1}}{ x^\\var{b2}\\times x^\\var{b4}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "1", "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}], "type": "question"}, {"name": "2. Indices part 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "functions": {}, "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "variables": {"b0": {"description": "", "definition": "random(-9..9 except [a0,0])", "group": "Ungrouped variables", "templateType": "anything", "name": "b0"}, "b1": {"description": "", "definition": "random(-9..9 except [a1,0])", "group": "Ungrouped variables", "templateType": "anything", "name": "b1"}, "c4": {"description": "", "definition": "random(-9..9 except [a4, b4,0])", "group": "Ungrouped variables", "templateType": "anything", "name": "c4"}, "a4": {"description": "", "definition": "random(-9..9 except 0)", "group": "Ungrouped variables", "templateType": "anything", "name": "a4"}, "a0": {"description": "", "definition": "random(-9..9 except 0)", "group": "Ungrouped variables", "templateType": "anything", "name": "a0"}, "a3": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a3"}, "a1": {"description": "", "definition": "random(-9..9 except 0)", "group": "Ungrouped variables", "templateType": "anything", "name": "a1"}, "b4": {"description": "", "definition": "random(-9..9 except [a4,0])", "group": "Ungrouped variables", "templateType": "anything", "name": "b4"}, "b3": {"description": "", "definition": "random(-9..9 except [a3,0])", "group": "Ungrouped variables", "templateType": "anything", "name": "b3"}, "a2": {"description": "", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "name": "a2"}, "b2": {"description": "", "definition": "random(2..9 except a2)", "group": "Ungrouped variables", "templateType": "anything", "name": "b2"}}, "variable_groups": [], "statement": "

Simplify the following by writing as a single power in the form $x^n$ or further if possible.

Do not use negative powers in your answers but express $x^{-n}$ as $\\frac{1}{x^n}$

You can input $x^n$ as $x$^n, $x^\\frac{m}{n}$ as $x$^(m/n) and $\\frac{1}{x^n}$ as 1/$x$^n

$x^\\var{a0}\\times x^\\var{b0}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{a1+b1}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$x^\\var{a1}\\times x^\\var{b1}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{1/a2+1/b2}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$x^\\simplify{1/{a2}}\\times x^\\simplify{1/{b2}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-", "."]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{1/a3+2/b3}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$x^\\simplify{1/{a3}}\\times x^\\simplify{2/{b3}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{1/a4+1/b4+1/c4}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$x^\\simplify{1/{a4}}\\times x^\\simplify{1/{b4}}\\times x^\\simplify{1/{c4}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{1/a4-1/b2}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$\\frac{x^\\simplify{1/{a4}}}{ x^\\simplify{1/{b2}}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{3/a0-1/b1}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$\\frac{x^\\simplify{3/{a0}}}{ x^\\simplify{1/{b1}}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{2/a3-3/b2}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$\\frac{x^\\simplify{2/{a3}}}{ x^\\simplify{3/{b2}}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{1/a2+2/c4-1/b0}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$\\frac{x^\\simplify{1/{a2}}\\times x^\\simplify{2/{c4}}}{ x^\\simplify{1/{b0}}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": false, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}, {"type": "jme", "answer": "x^{1/a1-1/b2-1/b4}", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$\\frac{x^\\simplify{1/{a1}}}{ x^\\simplify{1/{b2}}\\times x^\\simplify{1/{b4}}}$

", "vsetrangepoints": 5, "checkvariablenames": false, "marks": "2", "notallowed": {"message": "", "showStrings": true, "partialCredit": 0, "strings": ["-"]}, "showCorrectAnswer": true, "vsetrange": [0, 1], "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "expectedvariablenames": []}], "type": "question"}, {"name": "3. Logs part 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "variables": {"x17": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x17", "group": "Ungrouped variables"}, "n6": {"definition": "random((2,3,4,5,0.25,0.5))", "description": "", "templateType": "anything", "name": "n6", "group": "Ungrouped variables"}, "n3": {"definition": "random((2,3,4,5,0.25,0.5))", "description": "", "templateType": "anything", "name": "n3", "group": "Ungrouped variables"}, "x7": {"definition": "random(2..10)", "description": "", "templateType": "anything", "name": "x7", "group": "Ungrouped variables"}, "x6": {"definition": "random(2..10 except x5)", "description": "", "templateType": "anything", "name": "x6", "group": "Ungrouped variables"}, "x14": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x14", "group": "Ungrouped variables"}, "x16": {"definition": "random(2..9)", "description": "

x16

", "templateType": "anything", "name": "x16", "group": "Ungrouped variables"}, "x12": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x12", "group": "Ungrouped variables"}, "x5": {"definition": "random(2..10)", "description": "", "templateType": "anything", "name": "x5", "group": "Ungrouped variables"}, "x19": {"definition": "random(2..9)", "description": "

", "templateType": "anything", "name": "x19", "group": "Ungrouped variables"}, "n5": {"definition": "random((2,3,4,5,0.25,0.5))", "description": "", "templateType": "anything", "name": "n5", "group": "Ungrouped variables"}, "x21": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x21", "group": "Ungrouped variables"}, "x4": {"definition": "random(2..10 except x3)", "description": "", "templateType": "anything", "name": "x4", "group": "Ungrouped variables"}, "n2": {"definition": "random((2,3,4,5,0.25,0.5))", "description": "", "templateType": "anything", "name": "n2", "group": "Ungrouped variables"}, "x13": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x13", "group": "Ungrouped variables"}, "x22": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x22", "group": "Ungrouped variables"}, "x10": {"definition": "random(2..9 except x9)", "description": "", "templateType": "anything", "name": "x10", "group": "Ungrouped variables"}, "x11": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x11", "group": "Ungrouped variables"}, "x8": {"definition": "random(2..10 except x7)", "description": "", "templateType": "anything", "name": "x8", "group": "Ungrouped variables"}, "x3": {"definition": "random(2..10)", "description": "", "templateType": "anything", "name": "x3", "group": "Ungrouped variables"}, "x9": {"definition": "random(2..9)", "description": "

", "templateType": "anything", "name": "x9", "group": "Ungrouped variables"}, "n1": {"definition": "random((2,3,4,5,0.25,0.5))", "description": "", "templateType": "anything", "name": "n1", "group": "Ungrouped variables"}, "x18": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x18", "group": "Ungrouped variables"}, "x1": {"definition": "random(2..10)", "description": "", "templateType": "anything", "name": "x1", "group": "Ungrouped variables"}, "x20": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x20", "group": "Ungrouped variables"}, "x2": {"definition": "random(2..9 except x1)", "description": "", "templateType": "anything", "name": "x2", "group": "Ungrouped variables"}, "n4": {"definition": "random((2,3,4,5,0.25,0.5))", "description": "", "templateType": "anything", "name": "n4", "group": "Ungrouped variables"}, "x15": {"definition": "random(2..9)", "description": "", "templateType": "anything", "name": "x15", "group": "Ungrouped variables"}}, "statement": "

Fill in the blank for the following:

", "parts": [{"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x1}*{x2}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x1})+\\log(\\var{x2})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x3}*{x4}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x3})+\\log(\\var{x4})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x5}/{x6}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": false, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x5})-\\log(\\var{x6})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x7}/{x8}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": false, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x7})-\\log(\\var{x8})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x9}*{x10}^{n1}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x9})+\\var{n1}\\log(\\var{x10})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x11}*{x12}^{n2}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x11})+\\var{n2}\\log(\\var{x12})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "1/{x13}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$-\\log(\\var{x13})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "1/{x14}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$-\\log(\\var{x14})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x15}*{x16}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x15})+\\var{n3}\\log(\\var{x16}^{\\var{1/n3}})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x17}*{x18}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\log(\\var{x17})+\\var{n4}\\log(\\var{x18}^{\\var{1/n4}})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x19}/{x20}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\var{n5}\\log(\\var{x19}^{\\var{1/n5}}) -\\log(\\var{x20})=\\log$([[0]])

"}, {"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "type": "gapfill", "gaps": [{"vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": "2", "variableReplacements": [], "expectedvariablenames": [], "answer": "{x21}/{x22}", "scripts": {}, "showpreview": true, "type": "jme", "checkvariablenames": false, "showCorrectAnswer": true, "checkingaccuracy": 0.001, "vsetrangepoints": 5}], "variableReplacements": [], "showCorrectAnswer": true, "prompt": "

$\\var{n6}\\log(\\var{x21}^{\\var{1/n6}}) -\\log(\\var{x22})=\\log$([[0]])

"}], "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "tags": [], "rulesets": {}, "ungrouped_variables": ["x1", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "n1", "n2", "x9", "x10", "x11", "x12", "x13", "x14", "x15", "x16", "x17", "x18", "x19", "x20", "x21", "x22", "n3", "n4", "n5", "n6"], "advice": "", "metadata": {"licence": "None specified", "description": ""}, "variable_groups": [], "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "4. Logs part 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "advice": "", "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["x1", "x2", "x3", "x4", "x5", "x6", "x7", "x8", "x9", "x10", "x11", "x12", "x13"], "parts": [{"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "{x2}", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Simplify the following

$\\log_{\\var{x1}}(\\var{x1}^\\var{x2})$

$=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "{x5}ln({x4})/ln({x3})", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Simplify the following

$\\log_{\\var{x3}}(\\var{x4}^\\var{x5})$

$=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "{x8}ln({x7})/ln({x6})", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Simplify the following

$\\log_{\\var{x6}}(\\var{x7}^\\var{x8})$

$=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "{x9}", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Simplify the following

$\\ln(e^\\var{x9})$

$=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": false, "answer": "{x10}{x11}", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Simplify the following

$\\var{x10}\\ln(e^\\var{x11})$

$=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "{x12}{x13}", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Simplify the following

$\\var{x12}\\ln(e^\\var{x13})$

$=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "ln(x)", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Make $a$ the subject:

$x=e^a$

$a=$[[0]]

"}, {"showFeedbackIcon": true, "showCorrectAnswer": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "scripts": {}, "type": "gapfill", "marks": 0, "gaps": [{"showFeedbackIcon": true, "expectedvariablenames": [], "type": "jme", "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "marks": "2", "vsetrangepoints": 5, "checkvariablenames": false, "showCorrectAnswer": true, "answer": "log_n(x)", "scripts": {}, "showpreview": true, "vsetrange": [0, 1]}], "prompt": "

Make $a$ the subject:

$x=n^a$

$a=$[[0]]

"}], "variables": {"x2": {"description": "", "group": "Ungrouped variables", "name": "x2", "templateType": "anything", "definition": "random(2..10)"}, "x11": {"description": "", "group": "Ungrouped variables", "name": "x11", "templateType": "anything", "definition": "random(2..9)"}, "x4": {"description": "", "group": "Ungrouped variables", "name": "x4", "templateType": "anything", "definition": "random(2..9)"}, "x3": {"description": "", "group": "Ungrouped variables", "name": "x3", "templateType": "anything", "definition": "random(2..10)"}, "x12": {"description": "", "group": "Ungrouped variables", "name": "x12", "templateType": "anything", "definition": "random(2..9)"}, "x8": {"description": "", "group": "Ungrouped variables", "name": "x8", "templateType": "anything", "definition": "random(2..9)"}, "x6": {"description": "", "group": "Ungrouped variables", "name": "x6", "templateType": "anything", "definition": "random(2..9)"}, "x9": {"description": "", "group": "Ungrouped variables", "name": "x9", "templateType": "anything", "definition": "random(2..9)"}, "x1": {"description": "", "group": "Ungrouped variables", "name": "x1", "templateType": "anything", "definition": "random(2..10)"}, "x10": {"description": "", "group": "Ungrouped variables", "name": "x10", "templateType": "anything", "definition": "random(2..9)"}, "x13": {"description": "", "group": "Ungrouped variables", "name": "x13", "templateType": "anything", "definition": "random(2..9)"}, "x5": {"description": "", "group": "Ungrouped variables", "name": "x5", "templateType": "anything", "definition": "random(2..9)"}, "x7": {"description": "", "group": "Ungrouped variables", "name": "x7", "templateType": "anything", "definition": "random(2..9)"}}, "functions": {}, "variable_groups": [], "statement": "", "rulesets": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}]}], "showQuestionGroupNames": false, "name": "06C maths Session 3: Exponents and logs", "duration": 0, "timing": {"timeout": {"message": "", "action": "none"}, "allowPause": true, "timedwarning": {"message": "", "action": "none"}}, "type": "exam", "contributors": [{"name": "emma rand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/115/"}], "extensions": [], "custom_part_types": [], "resources": []}