// Numbas version: exam_results_page_options
{"name": "ecuacion exponencial", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>Solve an exponential equation</p>", "licence": "Creative Commons Attribution 4.0 International"}, "name": "ecuacion exponencial", "extensions": [], "functions": {}, "variable_groups": [], "parts": [{"variableReplacementStrategy": "originalfirst", "variableReplacements": [], "type": "gapfill", "showFeedbackIcon": true, "gaps": [{"correctAnswerFraction": false, "minValue": "(ln({k}/{a})-{c})/{m}", "type": "numberentry", "showFeedbackIcon": true, "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "maxValue": "(ln({k}/{a})-{c})/{m}", "showPrecisionHint": false, "precision": "3", "allowFractions": false, "showCorrectAnswer": true, "mustBeReducedPC": 0, "mustBeReduced": false, "variableReplacementStrategy": "originalfirst", "precisionType": "dp", "precisionMessage": "You have not given your answer to the correct precision.", "scripts": {}, "precisionPartialCredit": 0, "variableReplacements": [], "marks": 1, "strictPrecision": false}], "scripts": {}, "showCorrectAnswer": true, "marks": 0, "prompt": "<p>Ingrese su respuesta con tres decimales:</p>\n<p style=\"padding-left: 30px;\">\\(x = \\) [[0]]</p>"}], "preamble": {"css": "", "js": ""}, "ungrouped_variables": ["a", "m", "c", "k"], "advice": "<p style=\"text-align: center;\">\\(\\var{k}=\\var{a}e^{\\var{m}x+{\\var{c}}}\\)</p>\n<p style=\"text-align: center;\">\\(\\dfrac{\\var{k}}{\\var{a}}=e^{\\var{m}x+\\var{c}}\\)</p>\n<p style=\"text-align: center;\">\\(\\ln\\left(\\dfrac{\\var{k}}{\\var{a}}\\right)=\\var{m}x+\\var{c}\\)</p>\n<p style=\"text-align: center;\">\\(\\ln\\left(\\dfrac{\\var{k}}{\\var{a}}\\right)-\\var{c}=\\var{m}x\\)</p>\n<p style=\"text-align: center;\">\\(\\frac{\\ln\\left(\\dfrac{\\var{k}}{\\var{a}}\\right)-\\var{c}}{\\var{m}}=x\\)</p>", "variablesTest": {"condition": "c>0 or c<0 ", "maxRuns": 100}, "variables": {"k": {"description": "", "name": "k", "definition": "random(100..150#1)", "templateType": "randrange", "group": "Ungrouped variables"}, "a": {"description": "", "name": "a", "definition": "random(4..20#1)", "templateType": "randrange", "group": "Ungrouped variables"}, "m": {"description": "", "name": "m", "definition": "random(0.1..1.5#0.1)", "templateType": "randrange", "group": "Ungrouped variables"}, "c": {"description": "", "name": "c", "definition": "random(0.1..3#0.2)", "templateType": "randrange", "group": "Ungrouped variables"}}, "statement": "<p>Encuentre el valor de $x$ que satisface la ecuaci&oacute;n:</p>\n<p style=\"text-align: center;\">\\(\\var{k}=\\var{a}e^{\\var{m}x+\\var{c}}\\)</p>\n<p></p>", "rulesets": {}, "tags": [], "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/"}]}