// Numbas version: exam_results_page_options {"name": "Q13", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "extensions": [], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "tags": [], "preamble": {"js": "", "css": ""}, "name": "Q13", "statement": "

Simply the expression to a single log form $\\simplify{{a}log((a^{b}b^{c}/c^{d}), '')}-\\simplify{log((a^{f}c^{g}/b^{h}), '')}$  

", "rulesets": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["a", "b", "c", "d", "f", "g", "h", "correctAnswer", "Choice1", "Choice2", "Choice3", "choices", "noneofthesemarks", "choicemarks", "marks", "shuffledchoices", "order"], "variables": {"g": {"name": "g", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(-4..-2 except -d except -d*a)"}, "choicemarks": {"name": "choicemarks", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "//marks to award for each of the above choices\n [1,0,0,0]"}, "Choice2": {"name": "Choice2", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "expression('log((2b^' + (c+h) + 'c^' + (d+g) + '/a^' + (b+f) + '),\"\")')"}, "b": {"name": "b", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)"}, "Choice3": {"name": "Choice3", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "expression('log((2a^' + (b*a-f) + 'b^' + (c*a-h) + '/c^' + (d*a+g) + '),\"\")')"}, "noneofthesemarks": {"name": "noneofthesemarks", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "//marks to award for selecting \"none of these\"\n 0"}, "choices": {"name": "choices", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "//choices, apart from \"none of the above\"\n [correctAnswer,Choice1,Choice2,Choice3]"}, "marks": {"name": "marks", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "//marks to award for each choice, then append the marks for \"none of the above\"\n map(choicemarks[j],j,order)+noneofthesemarks"}, "Choice1": {"name": "Choice1", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "expression('2log((b^' + (c+h) + 'c^' + (d+g) + '/a^' + (b+f) + '),\"\")')"}, "f": {"name": "f", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1..4 except b*a)"}, "order": {"name": "order", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "//the order in which to display the choices - pick a random permutation of [0,1,2,3,4]\n deal(4)"}, "a": {"name": "a", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..3)"}, "d": {"name": "d", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)"}, "h": {"name": "h", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(1..4 except c*a)"}, "shuffledchoices": {"name": "shuffledchoices", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "//the choice texts, in the shuffled order\n map(choices[j],j,order)"}, "correctAnswer": {"name": "correctAnswer", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "expression('log((a^' + (b*a-f) + 'b^' + (c*a+h) + '/c^' + (d*a+g) + '),\"\")')"}, "c": {"name": "c", "description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..4)"}}, "variable_groups": [], "advice": "", "parts": [{"scripts": {}, "shuffleChoices": false, "showCellAnswerState": true, "showFeedbackIcon": true, "unitTests": [], "customMarkingAlgorithm": "", "maxMarks": 0, "useCustomName": false, "matrix": "marks", "minMarks": 0, "extendBaseMarkingAlgorithm": true, "displayType": "radiogroup", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "showCorrectAnswer": true, "type": "1_n_2", "customName": "", "displayColumns": 0, "choices": ["

$\\simplify{{shuffledchoices[0]}}$

", "

$\\simplify{{shuffledchoices[1]}}$

", "

$\\simplify{{shuffledchoices[2]}}$

", "

$\\simplify{{shuffledchoices[3]}}$

", "

None of these

"]}], "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}]}], "contributors": [{"name": "David Wishart", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1461/"}]}