// Numbas version: exam_results_page_options
{"name": "Math 3 Rewrite in log form 0<b<1 fraction", "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 0<b<1 fraction", "ungrouped_variables": ["b", "exponent", "value"], "functions": {}, "preamble": {"js": "", "css": ""}, "variables": {"value": {"templateType": "anything", "name": "value", "definition": "rational_approximation((b[0]/b[1])^exponent)", "description": "<p>x</p>", "group": "Ungrouped variables"}, "b": {"templateType": "anything", "name": "b", "definition": "rational_approximation(random(0..1#0.2 except[0,1]))", "description": "", "group": "Ungrouped variables"}, "exponent": {"templateType": "anything", "name": "exponent", "definition": "random(-3..3 except [-1,0,1])", "description": "", "group": "Ungrouped variables"}}, "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "extensions": [], "tags": [], "parts": [{"scripts": {}, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "useCustomName": false, "type": "patternmatch", "answer": "log_{b[0]/b[1]}({value[0]}/{value[1]})={exponent}", "displayAnswer": "log_{b[0]/b[1]}({value[0]}/{value[1]})={exponent}", "customName": "", "showFeedbackIcon": true, "adaptiveMarkingPenalty": 0, "matchMode": "exact", "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "unitTests": [], "marks": 1, "customMarkingAlgorithm": ""}], "advice": "", "metadata": {"licence": "All rights reserved", "description": ""}, "statement": "<p>Re-write in log form.</p>\n<p>Given:&nbsp; $\\left( \\frac{\\var{b[0]}}{ \\var{b[1]}} \\right)^{\\var{exponent}} = \\simplify{ {value[0]}/{value[1]} }$</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>", "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/"}]}