[{"data":1,"prerenderedAt":136},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Falgebra\u002Flogaritmos?{}":3,"topics-with-content:algebra":112},{"course":4,"topic":12,"counts":17,"universities":22,"channels":34,"sampleQuestions":68,"sameName":111},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},2,"algebra","Álgebra","Álg.","math","i-lucide-variable",1,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},216,"logaritmos","Logaritmos",15,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},10,134,112,1711,[23,30],{"universityId":5,"questions":24,"years":25},7,[26,27,28,29],2025,2024,2023,2022,{"universityId":11,"questions":31,"years":32},3,[33,26,29],2026,[35,38,41,44,47,49,52,55,57,60,62,64,66],{"name":36,"classes":37},"Alberto Cruz",29,{"name":39,"classes":40},"Academia ipluton",27,{"name":42,"classes":43},"Academia Grupo Ciencias",16,{"name":45,"classes":46},"Academia Internet",12,{"name":48,"classes":46},"META VILLARREAL",{"name":50,"classes":51},"Ciclo Uni-San Marcos",11,{"name":53,"classes":54},"Academias Aduni y César Vallejo",9,{"name":56,"classes":24},"CEPRE UNMSM",{"name":58,"classes":59},"Trilce Multimedia",4,{"name":61,"classes":31},"Salón Sapiens",{"name":63,"classes":5},"Academia_Pitagoras",{"name":65,"classes":11},"Pamer Corporación Educativa",{"name":67,"classes":11},"Saco Oliveros",[69,94],{"id":70,"courseId":5,"topicId":13,"pastExamId":71,"stem":72,"options":73,"correctKey":84,"explanation":89,"difficulty":59,"status":90,"source":91,"stats":92},5595,256,"En un río se construyó un muro de contención de $|b-a|$ metros de altura. Halle dicha altura si se sabe que $\\langle a;\\,b\\rangle$ es el dominio de la función\n$f(x)=\\log\\left(\\log_{x}\\left(\\dfrac{3x+32}{3x-1}\\right)-1\\right),\\ x>1.$",[74,77,80,83,86],{"key":75,"text":76},"A","2,5 m",{"key":78,"text":79},"B","2 m",{"key":81,"text":82},"C","1 m",{"key":84,"text":85},"D","3 m",{"key":87,"text":88},"E","3,5","","published","UNMSM 2026-I · Área B · Ciencias Básicas",{"attempts":93,"accuracy":93},0,{"id":95,"courseId":5,"topicId":13,"pastExamId":96,"stem":97,"options":98,"correctKey":81,"explanation":89,"difficulty":59,"status":90,"source":109,"stats":110},1278,192,"Calcule el valor de la siguiente expresión:\n$\\dfrac{a}{32}-4\\log_{0{,}5}a$\nSi $\\log_{b}a>0$, $\\log_{\\sqrt[7]{2}}b>0$, $a\\neq b$ y además\n$\\log_{b}a+11\\log_{a}b=12$ y\n$\\log_{\\sqrt[7]{2}}b-7\\log_{b}\\sqrt[7]{2}=6$",[99,101,103,105,107],{"key":75,"text":100},"100",{"key":78,"text":102},"104",{"key":81,"text":104},"108",{"key":84,"text":106},"112",{"key":87,"text":108},"116","UNI 2025-1 · Matemática",{"attempts":93,"accuracy":93},[],[113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,13,128,129,130,131,132,133,134,135],201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,217,218,219,220,221,223,225,226,1791501527114]