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{"metadata": {"description": "<p>Este test eval&uacute;a las propiedades b&aacute;sicas de los logaritmos</p>", "licence": "All rights reserved"}, "navigation": {"allowregen": false, "onleave": {"message": "<p>Ojo, a&uacute;n no respondes esta pregunta, &iquest;deseas salir de todas formas?</p>", "action": "warnifunattempted"}, "preventleave": true, "showfrontpage": true, "showresultspage": "oncompletion", "browse": true, "reverse": true}, "showQuestionGroupNames": false, "name": "Logaritmos", "feedback": {"intro": "<p>Este test eval&uacute;a&nbsp;las propiedades de los logaritmos. Recuerda, al contestar una&nbsp;pregunta, debes presionar el bot&oacute;n \"Enviar respuesta\"</p>\n<p>Cuando debas escribir expresiones con logartimos, debes usar par&eacute;ntesis, por ejemplo</p>\n<p>log(a) (Forma correcta)</p>\n<p>log a (Forma incorrecta)</p>\n<p></p>\n<p>&iexcl;Conc&eacute;ntrate y mucha suerte!</p>", "feedbackmessages": [], "allowrevealanswer": false, "advicethreshold": 0, "showtotalmark": false, "showactualmark": false, "showanswerstate": false}, "question_groups": [{"pickQuestions": 1, "name": "Group", "pickingStrategy": "all-ordered", "questions": [{"name": "Calcular log_2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "parts": [{"marks": 1, "checkingaccuracy": 0.001, "vsetrangepoints": 5, "variableReplacements": [], 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"Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "rulesets": {}, "statement": "", "functions": {}, "metadata": {"licence": "None specified", "description": ""}, "preamble": {"js": "", "css": ""}, "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "advice": "", "ungrouped_variables": ["a"], "parts": [{"vsetrangepoints": 5, "scripts": {}, "expectedvariablenames": [], "checkingaccuracy": 0.001, "variableReplacements": [], "answer": "{a}", "vsetrange": [0, 1], "checkvariablenames": false, "showpreview": true, "showCorrectAnswer": true, "prompt": "<p>Calcular $\\log_3(\\simplify{3^{a}})$</p>", "type": "jme", "showFeedbackIcon": true, "checkingtype": "absdiff", "marks": 1, "variableReplacementStrategy": "originalfirst"}], "variables": {"a": {"description": "", "definition": "random(1..6)", "name": "a", "templateType": "anything", "group": "Ungrouped variables"}}, "tags": [], "type": "question"}, {"name": "Calcular log sqrt_2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "rulesets": {}, "preamble": {"js": "", "css": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "statement": "", "advice": "", "variables": {"a": {"group": "Ungrouped variables", "definition": "random(1..8)", "name": "a", "templateType": "anything", "description": ""}}, "parts": [{"checkingaccuracy": 0.001, "expectedvariablenames": [], "answersimplification": "basic", "variableReplacements": [], "showFeedbackIcon": true, "marks": 1, "showCorrectAnswer": true, "checkingtype": "absdiff", "prompt": "<p>Calcular $\\log_{\\frac{1}{2}}\\sqrt{\\simplify{{2}^{a}}}$</p>", "vsetrange": [0, 1], "variableReplacementStrategy": "originalfirst", "vsetrangepoints": 5, "answer": "-{a}/2", 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{"description": "", "licence": "None specified"}, "parts": [{"checkingaccuracy": 0.001, "prompt": "<p>Calcular $\\log_{\\frac{1}{\\simplify{2^{a}}}}\\left(\\dfrac{1}{\\simplify{2^{{b}}}}\\right)$</p>", "vsetrange": [0, 1], "expectedvariablenames": [], "marks": 1, "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "showpreview": true, "scripts": {}, "variableReplacements": [], "type": "jme", "answer": "{b}/{a}", "showFeedbackIcon": true, "checkvariablenames": false, "answersimplification": "basic", "vsetrangepoints": 5, "showCorrectAnswer": true}], "functions": {}, "variables": {"a": {"definition": "random(1..5)", "name": "a", "description": "", "group": "Ungrouped variables", "templateType": "anything"}, "b": {"definition": "random(1..5)", "name": "b", "description": "", "group": "Ungrouped variables", "templateType": "anything"}}, "ungrouped_variables": ["a", "b"], "statement": "", "type": "question"}, {"name": "Calcular log_(1/3)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "statement": "", "advice": "", "parts": [{"scripts": {}, "answersimplification": "basic", "showFeedbackIcon": true, "marks": 1, "vsetrangepoints": 5, "checkingaccuracy": 0.001, "showpreview": true, "variableReplacementStrategy": "originalfirst", "checkvariablenames": false, "prompt": "<p>Calcular $\\log_{\\frac{1}{\\simplify{3^{a}}}}\\left(\\dfrac{1}{\\simplify{3^{{b}}}}\\right)$</p>", "checkingtype": "absdiff", "variableReplacements": [], "answer": "{b}/{a}", "vsetrange": [0, 1], "expectedvariablenames": [], "showCorrectAnswer": true, "type": "jme"}], "preamble": {"js": "", "css": ""}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(1..5)", "description": "", "templateType": "anything"}}, "variable_groups": [], "rulesets": {}, "functions": {}, "ungrouped_variables": ["a", "b"], "metadata": {"licence": "None specified", "description": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "type": "question"}, {"name": "Log a+log(1/a)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "metadata": {"licence": "None specified", "description": ""}, "functions": {}, "preamble": {"css": "", "js": ""}, "statement": "", "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "advice": "", "rulesets": {}, "variable_groups": [], "ungrouped_variables": ["a"], "variables": {"a": {"definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}}, "parts": [{"showpreview": true, "vsetrangepoints": 5, "expectedvariablenames": [], "showCorrectAnswer": true, "vsetrange": [0, 1], "checkingaccuracy": 0.001, "prompt": "<p>Para cualquier valor de $b&gt;0$, calcule:&nbsp;</p>\n<p>$\\log_b(\\var{a})+\\log_b\\left(\\dfrac{1}{\\var{a}}\\right)$</p>", "variableReplacements": [], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "answer": "0", "marks": 1, "scripts": {}}], "type": "question"}, {"name": "Escribir como un solo logaritmo", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "metadata": {"licence": "None specified", "description": ""}, "ungrouped_variables": ["a", "b", "c"], "parts": [{"showCorrectAnswer": true, "vsetrange": [0, 1], "answersimplification": "basic", "type": "jme", "marks": "1", "prompt": "<p>Escribir como <strong>un solo</strong> logaritmo</p>\n<p>\\[ \\dfrac{1}{2}\\log{\\var{a}}-\\dfrac{1}{2}\\log\\var{b}-\\dfrac{1}{2}\\log\\var{c}\\]</p>", "checkvariablenames": false, "answer": "log({a}/{b*c})^(1/2)", "expectedvariablenames": [], "showpreview": true, "checkingtype": "absdiff", "checkingaccuracy": 0.001, "scripts": {}, "showFeedbackIcon": true, "vsetrangepoints": 5, "variableReplacements": [], "variableReplacementStrategy": "originalfirst"}], "preamble": {"css": "", "js": ""}, "tags": [], "variable_groups": [], "variables": {"a": {"definition": "random(1..3)", "name": "a", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "b": {"definition": "random(1..3)", "name": "b", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "c": {"definition": "random(1..3)", "name": "c", "templateType": "anything", "description": "", "group": "Ungrouped variables"}}, "functions": {}, "rulesets": {}, "statement": "", "advice": "", "variablesTest": {"maxRuns": 100, "condition": ""}, "type": "question"}, {"name": "Calcular log (0,0001)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "variables": {"a": {"templateType": "anything", "definition": "random(1..5)", "name": "a", "group": "Ungrouped variables", "description": ""}}, "variable_groups": [], "parts": [{"prompt": "<p>Calcular $\\log(\\simplify[otherNumbers]{(0.1)^{a} })$</p>", "vsetrangepoints": 5, "checkingaccuracy": 0.001, "checkvariablenames": false, "showCorrectAnswer": true, "showpreview": true, "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "answer": "-{a}", "variableReplacements": [], "vsetrange": [0, 1], "scripts": {}, "expectedvariablenames": [], "showFeedbackIcon": true, "marks": 1, "type": "jme"}], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "", "ungrouped_variables": ["a"], "functions": {}, "statement": "", "metadata": {"licence": "None specified", "description": ""}, "tags": [], "preamble": {"css": "", "js": ""}, "type": "question"}, {"name": "Calcular la incognita (base)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "metadata": {"licence": "None specified", "description": ""}, "functions": {}, "preamble": {"css": "", "js": ""}, "statement": "<p></p>\n<p></p>", "variablesTest": {"condition": "", "maxRuns": 100}, "tags": [], "advice": "", "rulesets": {}, "variable_groups": [], "ungrouped_variables": ["a", "b"], "variables": {"a": {"definition": "random(2..3)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "random(1..4)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}}, "parts": [{"showpreview": true, "vsetrangepoints": 5, "expectedvariablenames": [], "showCorrectAnswer": true, "vsetrange": [0, 1], "checkingaccuracy": 0.001, "prompt": "<p>Calcule el valor de la inc&oacute;gnita $\\log_{x}\\simplify{{a}^{b}}=\\var{b}$</p>", "variableReplacements": [], "showFeedbackIcon": true, "checkvariablenames": false, "type": "jme", "variableReplacementStrategy": "originalfirst", "checkingtype": "absdiff", "answer": "{a}", "marks": 1, "scripts": {}}], "type": "question"}, {"name": "Calcule inc\u00f3gnita ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Mauricio Bravo", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1574/"}], "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "variable_groups": [], "tags": [], "functions": {}, "preamble": {"js": "", "css": ""}, "metadata": {"description": "", "licence": "None specified"}, "parts": [{"prompt": "<p>Calcule el valor de la inc&oacute;gnita $\\log_{\\simplify{((0.1)*{a})^3}}x=\\dfrac{1}{3}$</p>", "checkingaccuracy": 0.001, "vsetrange": [0, 1], "vsetrangepoints": 5, "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "showpreview": true, "scripts": {}, "expectedvariablenames": [], "variableReplacements": [], "type": "jme", "answer": "0.1*{a}", "showFeedbackIcon": true, "checkvariablenames": false, "marks": 1, "showCorrectAnswer": true}], "advice": "", 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