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{"name": "Math 3 Expand each logarithm Quotient", "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"], "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": {"exp3": {"group": "Ungrouped variables", "definition": "random(2..9)", "name": "exp3", "description": "", "templateType": "anything"}, "base": {"group": "Ungrouped variables", "definition": "random(2..9)", "name": "base", "description": "", "templateType": "anything"}, "var3": {"group": "Ungrouped variables", "definition": "random(variables except [var1,var2])", "name": "var3", "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"}, "variables": {"group": "Ungrouped variables", "definition": "[\"x\",\"y\",\"z\",\"a\",\"b\",\"c\",\"k\",\"m\",\"n\",\"p\",\"q\"]", "name": "variables", "description": "", "templateType": "anything"}, "var1": {"group": "Ungrouped variables", "definition": "random(variables)", "name": "var1", "description": "", "templateType": "anything"}, "exp1": {"group": "Ungrouped variables", "definition": "random(2..9)", "name": "exp1", "description": "", "templateType": "anything"}}, "tags": [], "statement": "<p>Expand the logarithm.</p>\n<p>Given:&nbsp; $&nbsp; \\log_{\\var{base}} \\left( \\frac{ \\var{var1}^{\\var{exp1}}}{ \\var{var2}^{\\var{exp2} }&nbsp; } \\right)&nbsp; $</p>", "name": "Math 3 Expand each logarithm Quotient", "rulesets": {}, "extensions": [], "variable_groups": [], "metadata": {"licence": "All rights reserved", "description": ""}, "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/"}]}