// Numbas version: exam_results_page_options {"name": "Math 3 Write expansion as a single logarithm Variable Combo", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "Math 3 Write expansion as a single logarithm Variable Combo", "metadata": {"description": "", "licence": "All rights reserved"}, "ungrouped_variables": ["base", "variables", "var1", "var2", "exp1", "exp2", "var3", "exp3"], "advice": "", "rulesets": {}, "variables": {"var2": {"templateType": "anything", "name": "var2", "definition": "random(variables except var1)", "group": "Ungrouped variables", "description": ""}, "exp3": {"templateType": "anything", "name": "exp3", "definition": "random(2..20)", "group": "Ungrouped variables", "description": ""}, "variables": {"templateType": "anything", "name": "variables", "definition": "[\"x\",\"y\",\"z\",\"a\",\"b\",\"c\",\"k\",\"m\",\"n\",\"p\",\"q\"]", "group": "Ungrouped variables", "description": ""}, "var3": {"templateType": "anything", "name": "var3", "definition": "random(variables except [var1,var2])", "group": "Ungrouped variables", "description": ""}, "exp1": {"templateType": "anything", "name": "exp1", "definition": "random(2..20)", "group": "Ungrouped variables", "description": ""}, "base": {"templateType": "anything", "name": "base", "definition": "random(2..9)", "group": "Ungrouped variables", "description": ""}, "exp2": {"templateType": "anything", "name": "exp2", "definition": "random(2..20)", "group": "Ungrouped variables", "description": ""}, "var1": {"templateType": "anything", "name": "var1", "definition": "random(variables)", "group": "Ungrouped variables", "description": ""}}, "extensions": [], "parts": [{"customName": "", "useCustomName": false, "showFeedbackIcon": true, "showCorrectAnswer": true, "caseSensitive": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "answer": "log_{base}({var1}^{exp1}{var2}^{exp2}/{var3}^{exp3})", "type": "patternmatch", "adaptiveMarkingPenalty": 0, "matchMode": "exact", "variableReplacementStrategy": "originalfirst", "customMarkingAlgorithm": "", "scripts": {}, "variableReplacements": [], "displayAnswer": "log_{base}({var1}^{exp1}{var2}^{exp2}/{var3}^{exp3})", "marks": 1, "partialCredit": "75"}], "preamble": {"js": "", "css": ""}, "statement": "

Write the logarithm as a single logarithm.

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Given:  $ \\var{exp1}\\log_\\var{base}( \\var{var1} ) + \\var{exp2}\\log_\\var{base}( \\var{var2} ) - \\var{exp3}\\log_\\var{base}( \\var{var3} ) $

", "tags": [], "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/"}]}