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