// Numbas version: finer_feedback_settings {"name": "Math 3 Expand each logarithm Product", "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"], "parts": [{"customMarkingAlgorithm": "", "displayAnswer": "{exp1}log_{base}({var1})+{exp2}log_{base}({var2})", "scripts": {}, "unitTests": [], "showFeedbackIcon": true, "answer": "{exp1}log_{base}({var1})+{exp2}log_{base}({var2})", "showCorrectAnswer": true, "type": "patternmatch", "customName": "", "marks": 1, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "useCustomName": false, "matchMode": "exact", "adaptiveMarkingPenalty": 0, "variableReplacements": []}], "functions": {}, "advice": "", "preamble": {"js": "", "css": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"base": {"group": "Ungrouped variables", "definition": "random(2..9)", "name": "base", "description": "", "templateType": "anything"}, "var2": {"group": "Ungrouped variables", "definition": "random(variables except var1)", "name": "var2", "description": "", "templateType": "anything"}, "exp2": {"group": "Ungrouped variables", "definition": "random(2..9)", "name": "exp2", "description": "", "templateType": "anything"}, "var1": {"group": "Ungrouped variables", "definition": "random(variables)", "name": "var1", "description": "", "templateType": "anything"}, "variables": {"group": "Ungrouped variables", "definition": "[\"x\",\"y\",\"z\",\"a\",\"b\",\"c\",\"k\",\"m\",\"n\",\"p\",\"q\"]", "name": "variables", "description": "", "templateType": "anything"}, "exp1": {"group": "Ungrouped variables", "definition": "random(2..9)", "name": "exp1", "description": "", "templateType": "anything"}}, "tags": [], "statement": "

Expand the logarithm.

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Given:  $  \\log_{\\var{base}}(  \\var{var1}^{\\var{exp1}}  \\var{var2}^{\\var{exp2} }  )  $

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