// Numbas version: finer_feedback_settings
{"name": "Ejercicio 5 NM3 - Repaso General 2020", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Ejercicio 5 NM3 - Repaso General 2020", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>5)&nbsp; El resultado de $\\log_2{64}+\\log_5{125}$, es:</p>\n<p>&nbsp; &nbsp; &nbsp;A)&nbsp; $6$</p>\n<p>&nbsp; &nbsp; &nbsp;B)&nbsp; $7$</p>\n<p>&nbsp; &nbsp; &nbsp;C)&nbsp; $8$</p>\n<p>&nbsp; &nbsp; &nbsp;D)&nbsp; $9$</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Desarrollo", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para determinar el valor de&nbsp;$\\log_2{64}+\\log_5{125}$, debemos resolver los siguientes pasos, recordando primero la definici&oacute;n de logaritmo:</p>\n<p style=\"text-align: center;\">$\\Large \\log_b{a}=c&nbsp;\\Leftrightarrow b^a=c$</p>\n<table style=\"width: 883px;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 876px;\"><strong>Paso 1:&nbsp;</strong>Determinar el valor de&nbsp;$\\log_2{64}=x$, por definici&oacute;n esto es igual a:</td>\n</tr>\n<tr>\n<td style=\"width: 876px;\">\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;$x$</p>\n<p style=\"text-align: center;\">$\\Large \\log_2{64}=x&nbsp; &nbsp;\\Leftrightarrow$&nbsp;[[0]]&nbsp;$=$&nbsp;[[1]]&nbsp;</p>\n<p>Por lo tanto, debemos determinar&nbsp;[[0]] elevado a cuanto es igual a&nbsp;[[1]], obteniendo que $x=$[[2]]</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 876px;\"><strong>Paso 2:&nbsp;</strong>Determinar el valor de&nbsp;$\\log_5{125}=y$, por definici&oacute;n esto es igual a:</td>\n</tr>\n<tr>\n<td style=\"width: 876px;\">\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;$y$</p>\n<p style=\"text-align: center;\">$\\Large \\log_5{125}=x&nbsp; &nbsp;\\Leftrightarrow$&nbsp;[[3]]&nbsp;$=$&nbsp;[[4]]&nbsp;</p>\n<p>Por lo tanto, debemos determinar&nbsp;[[3]]&nbsp;elevado a cuanto es igual a&nbsp;[[4]], obteniendo que $y=$[[5]]</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 876px;\">\n<p><strong>Paso 3:&nbsp;</strong>Ahora sumamos los valores obtenidos en el&nbsp;<strong>paso 2 y 3</strong>, concluyendo que:</p>\n<p style=\"text-align: center;\">$\\log_2{64}+\\log_5{125}=$[[2]]$+$[[5]]$=$[[6]]</p>\n</td>\n</tr>\n</tbody>\n</table>\n<p>Por tanto, la respuesta correcta es:&nbsp;[[7]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "2", "maxValue": "2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, 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