// Numbas version: exam_results_page_options
{"name": "ecuacion logaritmica", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>Solve a logarithmic equation</p>", "licence": "Creative Commons Attribution 4.0 International"}, "functions": {}, "variable_groups": [], "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["a", "b", "c", "d"], "extensions": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "ecuacion logaritmica", "statement": "<p>Encuentre el valor de \\(x\\) que satisface la siguiente ecuaci&oacute;n:</p>\n<p style=\"padding-left: 30px;\">\\(\\var{a}\\log(\\var{b}x+\\var{c})=\\var{d}\\)</p>", "advice": "<p style=\"text-align: left; padding-left: 30px;\">\\(\\var{a}\\log(\\var{b}x+\\var{c})=\\var{d}\\)</p>\n<p>Dividiendo a ambos lados por \\(\\var{a}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\log(\\var{b}x+\\var{c})=\\simplify{{d}/{a}}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\var{b}x+\\var{c}=10^{\\simplify{{d}/{a}}}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\var{b}x+\\var{c}=\\simplify{10^{{d}/{a}}}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\var{b}x=\\simplify{10^{{d}/{a}}}-\\var{c}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\var{b}x=\\simplify{10^{{d}/{a}}-{c}}\\)</p>\n<p style=\"padding-left: 30px;\">\\(x=\\simplify{(10^{{d}/{a}}-{c})/{b}}\\)</p>", "rulesets": {}, "tags": [], "variables": {"d": {"name": "d", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(1..6#1)", "description": ""}, "b": {"name": "b", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(2..6#1)", "description": ""}, "a": {"name": "a", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(2..8#1)", "description": ""}, "c": {"name": "c", "group": "Ungrouped variables", "templateType": "randrange", "definition": "random(2..10#1)", "description": ""}}, "parts": [{"type": "gapfill", "marks": 0, "gaps": [{"maxValue": "((10^(d/a))-c)/b", "type": "numberentry", "marks": 1, "correctAnswerStyle": "plain", "correctAnswerFraction": false, "precision": "3", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "strictPrecision": false, "minValue": "((10^(d/a))-c)/b", "precisionPartialCredit": 0, "precisionType": "dp", "allowFractions": false, "showCorrectAnswer": true, "mustBeReduced": false, "precisionMessage": "You have not given your answer to the correct precision.", "mustBeReducedPC": 0, "showFeedbackIcon": true, "notationStyles": ["plain", "en", "si-en"], "showPrecisionHint": false, "scripts": {}}], "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "prompt": "<p>Ingresa tu respuesta con 3 decimales:</p>\n<p>\\(x = \\)&nbsp;[[0]]</p>", "showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}}], "type": "question", "contributors": [{"name": "Ricardo Monge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/471/"}]}]}], "contributors": [{"name": "Ricardo Monge", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/471/"}]}