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{"name": "Math 3 Rewrite in log form b is decimal", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Math 3 Rewrite in log form b is decimal", "ungrouped_variables": ["b", "exponent", "value"], "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "parts": [{"matchMode": "exact", "answer": "log_{b}({value})={exponent}", "customName": "", "displayAnswer": "log_{b}({value})={exponent}", "useCustomName": false, "unitTests": [], "customMarkingAlgorithm": "", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "showCorrectAnswer": true, "marks": 1, "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "showFeedbackIcon": true, "type": "patternmatch", "scripts": {}}], "variables": {"value": {"name": "value", "definition": "precround((b)^exponent,4)", "group": "Ungrouped variables", "description": "<p>x</p>", "templateType": "anything"}, "b": {"name": "b", "definition": "random(0..5#0.01 except[0,1])", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "exponent": {"name": "exponent", "definition": "random(-3..3 except [-1,0,1])", "group": "Ungrouped variables", "description": "", "templateType": "anything"}}, "metadata": {"description": "", "licence": "All rights reserved"}, "rulesets": {}, "extensions": [], "advice": "", "functions": {}, "variable_groups": [], "statement": "<p>Re-write in log form.</p>\n<p>Given:&nbsp; $\\left( \\var{b}&nbsp;\\right)^{\\var{exponent}} =&nbsp;\\var{value}$</p>\n<p><em><strong>CAUTION:&nbsp; Be sure your value in the log is written as a fraction, i.e. 5 = 5/1.&nbsp; Also, if needed, express your base as a decimal in your answer.</strong></em></p>\n<p><em><strong>EXAMPLE ANSWER:&nbsp; log_4(64/1)=3</strong></em></p>", "preamble": {"css": "", "js": ""}, "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/"}]}