// Numbas version: exam_results_page_options
{"name": "cormac's copy of Solving log equations using exponentials", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "parts": [{"gaps": [{"vsetRange": [0, 1], "failureRate": 1, "showFeedbackIcon": true, "checkingAccuracy": 0.001, "scripts": {}, "vsetRangePoints": 5, "variableReplacementStrategy": "originalfirst", "showPreview": true, "checkVariableNames": false, "showCorrectAnswer": true, "checkingType": "absdiff", "unitTests": [], "marks": "5", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "answerSimplification": "fractionnumbers", "type": "jme", "answer": "{({b}^{power}-{c})/{a}}", "customMarkingAlgorithm": "", "expectedVariableNames": []}], "showFeedbackIcon": true, "scripts": {}, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "unitTests": [], "marks": 0, "prompt": "<p>Solve the following equation for $x$</p>\n<p style=\"text-align: left;\">$\\displaystyle{\\var{d}\\log_\\var{b}(\\simplify{{a}x+{c}})+\\var{f}=\\var{g} &nbsp; }.$</p>\n<p style=\"text-align: center;\"></p>\n<p style=\"text-align: left;\">$x=$&nbsp;[[0]]</p>\n<p style=\"text-align: left;\"><strong>Note:&nbsp;</strong>You can use the symbol ^ to signify powers, and / to signify division. Please ensure you use brackets correctly.</p>", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "type": "gapfill", "sortAnswers": false, "customMarkingAlgorithm": ""}], "extensions": [], "preamble": {"js": "", "css": ""}, "variables": {"g": {"name": "g", "definition": "f+power*d", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "power": {"name": "power", "definition": "random(-5..5 except 0)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "d": {"name": "d", "definition": "random(2..12)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "c": {"name": "c", "definition": "random(-12..12 except 0)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "f": {"name": "f", "definition": "random(1..60)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "ans": {"name": "ans", "definition": "(b^((g-f)/d)-c)/a", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "a": {"name": "a", "definition": "random(2..12)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}, "b": {"name": "b", "definition": "random(2,3,4,5,10)", "group": "Ungrouped variables", "description": "", "templateType": "anything"}}, "rulesets": {}, "advice": "", "variable_groups": [{"name": "Unnamed group", "variables": []}], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "cormac's copy of Solving log equations using exponentials", "tags": [], "ungrouped_variables": ["power", "d", "f", "g", "b", "a", "c", "ans"], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": ""}, "statement": "", "type": "question", "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "cormac breen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/306/"}, {"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}