// Numbas version: exam_results_page_options
{"name": "logarithms addition/subtraction [L6]", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "extensions": [], "parts": [{"prompt": "<p>$\\log_a(\\var{x1[1]})+ \\log_a(\\var{x1[0]})=\\log_a($ [[0]]$)$</p>", "marks": 0, "showFeedbackIcon": true, "scripts": {}, "customMarkingAlgorithm": "", "unitTests": [], "sortAnswers": false, "type": "gapfill", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "minValue": "x1[1]*x1[0]", "marks": "1", "showFeedbackIcon": true, "scripts": {}, "customMarkingAlgorithm": "", "unitTests": [], "mustBeReduced": false, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "showCorrectAnswer": true, "maxValue": "x1[1]*x1[0]", "mustBeReducedPC": 0}], "showCorrectAnswer": true}, {"prompt": "<p>$\\log_a(\\var{(x1[4])*y1})-\\log_a(\\var{x1[4]})=\\log_a($ [[0]]$)$</p>", "marks": 0, "showFeedbackIcon": true, "scripts": {}, "customMarkingAlgorithm": "", "unitTests": [], "sortAnswers": false, "type": "gapfill", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "minValue": "y1", "marks": "1", "showFeedbackIcon": true, "scripts": {}, "customMarkingAlgorithm": "", "unitTests": [], "mustBeReduced": false, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "correctAnswerFraction": false, "showCorrectAnswer": true, "maxValue": "y1", "mustBeReducedPC": 0}], "showCorrectAnswer": true}], "advice": "<h4></h4>", "preamble": {"css": "", "js": ""}, "variables": {"x1": {"definition": "repeat(random(2..20),8)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "x1"}, "y1": {"definition": "random(2..6)", "description": "", "templateType": "anything", "group": "Ungrouped variables", "name": "y1"}}, "statement": "<p>Join the expressions.&nbsp;</p>\n<p>Use the rules below, which apply to all numbers \ud835\udc4f and all positive numbers $x$ and $y$</p>\n<p>\\[\\begin{align}\\log_a(x^b)&amp;=b\\log(x)\\\\ \\log_a(x)+\\log_a(y)&amp;=\\log_a(xy)\\text{,}\\\\<br/>\\log_a(x)-\\log_a(y)&amp;=\\log_a\\left(\\frac{x}{y}\\right)\\text{.}<br/>\\end{align}\\]</p>", "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "rulesets": {}, "tags": ["L6"], "metadata": {"description": "<p>Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "name": "logarithms addition/subtraction [L6]", "ungrouped_variables": ["x1", "y1"], "type": "question", "contributors": [{"name": "Ida Landg\u00e4rds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2336/"}, {"name": "Abbi Mullins", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2466/"}]}]}], "contributors": [{"name": "Ida Landg\u00e4rds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2336/"}, {"name": "Abbi Mullins", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2466/"}]}