// Numbas version: finer_feedback_settings
{"name": "Math 3 Expand each logarithm Quotient with numerical", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["variables", "var1", "var2", "base", "exp1", "exp2", "var3", "exp3", "c1", "c2", "c"], "name": "Math 3 Expand each logarithm Quotient with numerical", "tags": [], "advice": "", "parts": [{"matchMode": "exact", "answer": "log_{base}({c[0]})+{exp1}log_{base}({var1})-log_{base}({c[1]})-{exp2}log_{base}({var2})", "customName": "", "displayAnswer": "log_{base}({c[0]})+{exp1}log_{base}({var1})-log_{base}({c[1]})-{exp2}log_{base}({var2})", "useCustomName": false, "unitTests": [], "customMarkingAlgorithm": "", "showFeedbackIcon": true, "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "marks": 1, "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "variableReplacements": [], "type": "patternmatch", "scripts": {}}], "variables": {"c2": {"name": "c2", "definition": "random(2..25 except c1)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "base": {"name": "base", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "exp3": {"name": "exp3", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "exp2": {"name": "exp2", "definition": "random(2..9)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "c": {"name": "c", "definition": "rational_approximation(c1/c2)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "exp1": {"name": "exp1", "definition": "random(1..9)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "var2": {"name": "var2", "definition": "random(variables except var1)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "var1": {"name": "var1", "definition": "random(variables)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "c1": {"name": "c1", "definition": "random(2..25)", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "variables": {"name": "variables", "definition": "[\"x\",\"y\",\"z\",\"a\",\"b\",\"c\",\"k\",\"m\",\"n\",\"p\",\"q\"]", "group": "Ungrouped variables", "templateType": "anything", "description": ""}, "var3": {"name": "var3", "definition": "random(variables except [var1,var2])", "group": "Ungrouped variables", "templateType": "anything", "description": ""}}, "metadata": {"description": "", "licence": "All rights reserved"}, "functions": {}, "preamble": {"css": "", "js": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "variable_groups": [], "statement": "<p>Expand the logarithm.</p>\n<p>Given:&nbsp; $&nbsp; \\log_{\\var{base}} \\left( \\frac{ \\var{c1}\\var{var1}^{\\var{exp1}}}{\\var{c2} \\var{var2}^{\\var{exp2} }&nbsp; } \\right)&nbsp; $</p>", "extensions": [], "type": "question", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}