// Numbas version: exam_results_page_options
{"name": "sp\u00f8rsm\u00e5l 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"statement": "<p>Trekk sammen uttrykkene.&nbsp;</p>\n<p>Vi har disse reglene, som gjelder for alle tall $b$ og alle positive tall $x$ og $y$:</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>", "preamble": {"css": "", "js": ""}, "advice": "<h4></h4>", "name": "sp\u00f8rsm\u00e5l 3", "parts": [{"variableReplacementStrategy": "originalfirst", "prompt": "<p>$\\log_a(\\var{x1[1]})+ \\log_a(\\var{x1[0]})=\\log_a($ [[0]]$)$</p>", "variableReplacements": [], "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "gaps": [{"variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReduced": false, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "allowFractions": false, "showFeedbackIcon": true, "scripts": {}, "minValue": "x1[1]*x1[0]", "notationStyles": ["plain", "en", "si-en"], "variableReplacements": [], "marks": "1", "showCorrectAnswer": true, "maxValue": "x1[1]*x1[0]", "type": "numberentry"}], "scripts": {}, "type": "gapfill"}, {"variableReplacementStrategy": "originalfirst", "prompt": "<p>$\\log_a(\\var{(x1[4])*y1})-\\log_a(\\var{x1[4]})=\\log_a($ [[0]]$)$</p>", "variableReplacements": [], "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "gaps": [{"variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "mustBeReduced": false, "correctAnswerStyle": "plain", "mustBeReducedPC": 0, "allowFractions": false, "showFeedbackIcon": true, "scripts": {}, "minValue": "y1", "notationStyles": ["plain", "en", "si-en"], "variableReplacements": [], "marks": "1", "showCorrectAnswer": true, "maxValue": "y1", "type": "numberentry"}], "scripts": {}, "type": "gapfill"}], "variables": {"y1": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(2..6)", "description": "", "name": "y1"}, "x1": {"templateType": "anything", "group": "Ungrouped variables", "definition": "repeat(random(2..20),8)", "description": "", "name": "x1"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "extensions": [], "rulesets": {}, "variable_groups": [], "tags": [], "ungrouped_variables": ["x1", "y1"], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.</p>"}, "type": "question", "contributors": [{"name": "Ida Landg\u00e4rds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2336/"}]}]}], "contributors": [{"name": "Ida Landg\u00e4rds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2336/"}]}