{"id":1761920,"date":"2026-06-17T14:55:00","date_gmt":"2026-06-17T17:55:00","guid":{"rendered":"https:\/\/blog-estrategia.mystagingwebsite.com\/blog\/?p=1761920"},"modified":"2026-06-16T20:50:07","modified_gmt":"2026-06-16T23:50:07","slug":"propriedades-logaritmos","status":"publish","type":"post","link":"https:\/\/www.estrategiaconcursos.com.br\/blog\/propriedades-logaritmos\/","title":{"rendered":"Propriedades dos Logaritmos"},"content":{"rendered":"\n<p class=\"has-medium-font-size wp-block-paragraph\">Aprenda os conceitos essenciais sobre as propriedades dos logaritmos com um resumo para as principais provas de concursos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ol\u00e1, pessoal! Tudo bem com voc\u00eas?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As <strong>propriedades dos logaritmos<\/strong> s\u00e3o fundamentais para simplificar c\u00e1lculos, resolver equa\u00e7\u00f5es e interpretar express\u00f5es matem\u00e1ticas envolvendo pot\u00eancias e crescimento exponencial. Em concursos p\u00fablicos, esse tema aparece frequentemente em quest\u00f5es que exigem manipula\u00e7\u00e3o alg\u00e9brica e aplica\u00e7\u00e3o estrat\u00e9gica das propriedades logar\u00edtmicas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Em provas de bancas como <strong><\/strong><strong><a href=\"https:\/\/conhecimento.fgv.br\/concursos\" target=\"_blank\" rel=\"noreferrer noopener\">FGV<\/a>, <a href=\"https:\/\/www.concursosfcc.com.br\/\" target=\"_blank\" rel=\"noreferrer noopener\">FCC<\/a><\/strong> e<strong> <a href=\"https:\/\/www.cebraspe.org.br\/concursos\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Cebraspe<\/strong><\/a><\/strong>, \u00e9 comum encontrar quest\u00f5es em que o candidato precisa transformar produtos em somas, quocientes em diferen\u00e7as ou simplificar express\u00f5es utilizando propriedades dos logaritmos. Muitas vezes, a dificuldade n\u00e3o est\u00e1 no c\u00e1lculo em si, mas em identificar corretamente qual propriedade deve ser utilizada.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Neste artigo, voc\u00ea vai revisar os conceitos b\u00e1sicos dos logaritmos, aprender suas principais propriedades e entender como esse conte\u00fado costuma aparecer em prova.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Confira os t\u00f3picos que ser\u00e3o abordados:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Logaritmo;<\/li>\n\n\n\n<li>Defini\u00e7\u00f5es;<\/li>\n\n\n\n<li>Logaritmo do produto;<\/li>\n\n\n\n<li>Logaritmo do quociente;<\/li>\n\n\n\n<li>Logaritmo da pot\u00eancia;<\/li>\n\n\n\n<li>Mudan\u00e7a de base;<\/li>\n\n\n\n<li>Exemplos resolvidos;<\/li>\n\n\n\n<li>Resumo.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-logaritmo\">Logaritmo<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">O logaritmo responde \u00e0 seguinte pergunta:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u201cA qual expoente devemos elevar uma base para obter determinado n\u00famero?\u201d<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Defini\u00e7\u00e3o fundamental<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se: <strong>a<sup>x<\/sup> = b<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ent\u00e3o: <strong>log\u2090 b = x<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Onde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a = base do logaritmo;<\/li>\n\n\n\n<li>b = logaritmando;<\/li>\n\n\n\n<li>x = resultado do logaritmo.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como: 2\u00b3 = 8, temos: log\u2082 8 = 3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Condi\u00e7\u00f5es de exist\u00eancia<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para o logaritmo existir:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a > 0<\/li>\n\n\n\n<li>a \u2260 1<\/li>\n\n\n\n<li>b > 0<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Essas condi\u00e7\u00f5es aparecem bastante em pegadinhas de prova.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-consequencias\">Consequ\u00eancias<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Antes de entrar nas propriedades dos logaritmos, temos que memorizar tr\u00eas importantes consequ\u00eancias que ajudar\u00e3o a simplificar os c\u00e1lculos.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>log\u2090 1 = 0, pois a\u2070 = 1.<\/li>\n\n\n\n<li>log\u2090 a = 1, pois a\u00b9 = a.<\/li>\n\n\n\n<li>log\u2090 a<sup>x<\/sup> = x<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Com as defini\u00e7\u00f5es de logaritmo em mente, veremos agora as propriedades que mais caem em prova.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-propriedade-do-logaritmo-do-produto\">Propriedade do Logaritmo do Produto<\/h2>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>log\u2090 (x \u00b7 y) = log\u2090 x + log\u2090 y<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ideia principal: <\/strong>a propriedade transforma o logaritmo da multiplica\u00e7\u00e3o em uma soma de logaritmos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log\u2082 (32 \u00b7 64) = log\u2082 32 + log\u2082 64<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 5 + 6<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 11<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-propriedade-do-logaritmo-do-quociente\">Propriedade do Logaritmo do Quociente<\/h2>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>log\u2090 (x\/y) = log\u2090 x \u2212 log\u2090 y<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ideia principal: <\/strong>a propriedade transforma o logaritmo da divis\u00e3o em uma subtra\u00e7\u00e3o de logaritmos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log\u2082 (4\/32) = log\u2082 4 \u2212 log\u2082 32<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 2 \u2212 5<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= &#8211; 3<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-propriedade-do-logaritmo-da-potencia\">Propriedade do Logaritmo da Pot\u00eancia<\/h2>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>log\u2090 x<sup>n<\/sup> = n \u00b7 log\u2090 x<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Ideia principal: <\/strong>no logaritmo da pot\u00eancia, o expoente \u201cdesce\u201d multiplicando.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log<sub>3<\/sub> 81 = log<sub>3<\/sub> 9<sup>2<\/sup><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 2 \u00b7 log<sub>3<\/sub> 9<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= 2 \u00b7 3 = 6<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-mudanca-de-base\">Mudan\u00e7a de Base<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A mudan\u00e7a de base permite reescrever um logaritmo em outra base mais conveniente, escolhida por n\u00f3s.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"126\" height=\"52\" src=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/wp-content\/uploads\/2026\/04\/image-172.png\" alt=\"Propriedade da mudan\u00e7a de base do logaritmo\" class=\"wp-image-1758232\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Por exemplo: <\/strong>transformando um logaritmo de base 9 em uma divis\u00e3o de logaritmos de base 3.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"158\" height=\"54\" src=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/wp-content\/uploads\/2026\/04\/image-173.png\" alt=\"Mudan\u00e7a de base do logaritmo de 3 com base 9 - propriedades dos logaritmos\" class=\"wp-image-1758233\" srcset=\"https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/04\/28105326\/image-173.png 158w, https:\/\/dhg1h5j42swfq.cloudfront.net\/2026\/04\/28105326\/image-173-150x51.png 150w\" sizes=\"auto, (max-width: 158px) 100vw, 158px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-exemplos-resolvidos-propriedades-dos-logaritmos\">Exemplos Resolvidos &#8211; Propriedades dos Logaritmos<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exemplo-1\"><strong>Exemplo 1<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Uma col\u00f4nia de bact\u00e9rias cresce segundo a f\u00f3rmula: N = 5 \u00b7 2<sup>t<\/sup>, onde N \u00e9 o n\u00famero de bact\u00e9rias e t \u00e9 o tempo em horas. Em determinado instante, a popula\u00e7\u00e3o atingiu 160 bact\u00e9rias. Qual \u00e9 o valor de t?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Temos:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">5 \u00b7 2<sup>t<\/sup> = 160<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dividindo ambos os lados por 5:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">2<sup>t<\/sup> = 32<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Aplicando logaritmo dos dois lados:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log\u2082 2<sup>t<\/sup> = log\u2082 32<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Utilizando a propriedade da pot\u00eancia:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">t \u00b7 log\u2082 2 = 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como: log\u2082 2 = 1, temos:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>t = 5 horas<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Esse tipo de quest\u00e3o aparece bastante em problemas de crescimento populacional, investimentos e prolifera\u00e7\u00e3o bacteriana.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exemplo-2\"><strong>Exemplo 2<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Simplifique a express\u00e3o: log\u2082 48 \u2212 log\u2082 3 \u2212 log\u2082 2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Aplicando a propriedade do quociente:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log\u2082 48 \u2212 log\u2082 3 = log\u2082 (48\/3)<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">= log\u2082 16 \u2212 log\u2082 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Agora novamente:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log\u2082 (16\/2) = log\u2082 8<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como: 2\u00b3 = 8, temos:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">log\u2082 8 = 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Resposta: <strong>3<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Resolver diretamente sem utilizar propriedades tornaria o c\u00e1lculo muito mais trabalhoso. Quest\u00f5es desse tipo s\u00e3o comuns em provas da FGV e da FCC, que costumam explorar simplifica\u00e7\u00f5es alg\u00e9bricas e manipula\u00e7\u00e3o estrat\u00e9gica de logaritmos.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-resumo-propriedades-dos-logaritmos\">Resumo \u2013 Propriedades dos Logaritmos<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Para te ajudar a revisar os principais pontos que vimos at\u00e9 aqui sobre as propriedades dos logaritmos, de forma r\u00e1pida e estrat\u00e9gica, preparamos um resumo:<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Conceito<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Regra<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Dica<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Defini\u00e7\u00e3o<\/td><td class=\"has-text-align-center\" data-align=\"center\">log<sub>b<\/sub> a = x \u21d4 b<sup>x<\/sup> = a<\/td><td class=\"has-text-align-center\" data-align=\"center\">Rela\u00e7\u00e3o com pot\u00eancia<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Consequ\u00eancias<\/td><td class=\"has-text-align-center\" data-align=\"center\">log<sub>b <\/sub>1 = 0 \/ log<sub>b <\/sub>b = 1 \/ log<sub>b <\/sub>b<sup>x<\/sup> = x \/ b<sup>log<\/sup><sub>b<\/sub><sup>a<\/sup> = a<\/td><td class=\"has-text-align-center\" data-align=\"center\">Memorizar padr\u00f5es b\u00e1sicos<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Produto<\/td><td class=\"has-text-align-center\" data-align=\"center\">log<sub>b<\/sub>(x\u00b7y) = log<sub>b<\/sub> x + log<sub>b<\/sub> y<\/td><td class=\"has-text-align-center\" data-align=\"center\">Multiplica\u00e7\u00e3o vira soma<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Quociente<\/td><td class=\"has-text-align-center\" data-align=\"center\">log<sub>b<\/sub>(x\/y) = log<sub>b<\/sub> x &#8211; log<sub>b<\/sub> y<\/td><td class=\"has-text-align-center\" data-align=\"center\">Divis\u00e3o vira subtra\u00e7\u00e3o<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Pot\u00eancia<\/td><td class=\"has-text-align-center\" data-align=\"center\">log<sub>b <\/sub>x<sup>n<\/sup> = n\u00b7log<sub>b <\/sub>x<\/td><td class=\"has-text-align-center\" data-align=\"center\">Trazer expoente para frente<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Mudan\u00e7a de base<\/td><td class=\"has-text-align-center\" data-align=\"center\">log\u2090 b = log<sub>c <\/sub>b\/log<sub>c <\/sub>a<\/td><td class=\"has-text-align-center\" data-align=\"center\">Troca de base<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-cyan-bluish-gray-background-color has-background\" id=\"h-finalizando-propriedades-dos-logaritmos\">Finalizando \u2013 Propriedades dos Logaritmos<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">As propriedades dos logaritmos s\u00e3o ferramentas extremamente \u00fateis para simplificar express\u00f5es e resolver problemas envolvendo crescimento exponencial, equa\u00e7\u00f5es e manipula\u00e7\u00e3o alg\u00e9brica. Compreender o significado de cada propriedade \u00e9 muito mais importante do que apenas decorar f\u00f3rmulas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Grande parte das dificuldades nesse tema surge da tentativa de aplicar propriedades mecanicamente, sem interpretar a estrutura da express\u00e3o. Por isso, desenvolver familiaridade com os padr\u00f5es alg\u00e9bricos \u00e9 essencial para resolver quest\u00f5es com mais seguran\u00e7a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Com <strong>pr\u00e1tica<\/strong>, a identifica\u00e7\u00e3o da propriedade adequada se torna natural, permitindo resolver quest\u00f5es de forma mais r\u00e1pida e eficiente. Dominar propriedades dos logaritmos fortalece bastante a base alg\u00e9brica e melhora o desempenho em matem\u00e1tica para concursos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c9 importante refor\u00e7ar que este conte\u00fado <strong>deve ser utilizado como complemento ao material em PDF<\/strong>, onde a abordagem \u00e9 aprofundada e completa. Al\u00e9m disso, \u00e9 fundamental praticar com muitas quest\u00f5es, preferencialmente separadas por banca, para entender as diferentes formas de cobran\u00e7a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quer se aprofundar no tema? O Estrat\u00e9gia Concursos disponibiliza <strong>materiais em PDF completos e atualizados<\/strong>, com teoria detalhada, quest\u00f5es comentadas e videoaulas direcionadas para cada concurso. Com pr\u00e1tica e um bom material, voc\u00ea estar\u00e1 preparado para resolver qualquer quest\u00e3o sobre propriedades dos logaritmos que aparecer na sua prova.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Acesse <a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/\" target=\"_blank\" rel=\"noreferrer noopener\">os cursos do Estrat\u00e9gia Concursos<\/a> e fortale\u00e7a sua prepara\u00e7\u00e3o com um conte\u00fado de alto n\u00edvel.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bons estudos e at\u00e9 a pr\u00f3xima!<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"cursos-assinatura\">Cursos e Assinaturas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Prepare-se com o melhor material e com quem mais aprova em Concursos P\u00fablicos em todo o pa\u00eds!<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-cyan-blue-color has-text-color has-background wp-block-paragraph\" style=\"background-color:#0078bd\"><a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-abertos\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-white-color\">Concursos Abertos<\/mark><\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-cyan-blue-color has-text-color has-background wp-block-paragraph\" style=\"background-color:#0078bd\"><a href=\"https:\/\/www.estrategiaconcursos.com.br\/blog\/concursos-2026\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-white-color\">Concursos 2026<\/mark><\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aprenda os conceitos essenciais sobre as propriedades dos logaritmos com um resumo para as principais provas de concursos. Ol\u00e1, pessoal! Tudo bem com voc\u00eas? As propriedades dos logaritmos s\u00e3o fundamentais para simplificar c\u00e1lculos, resolver equa\u00e7\u00f5es e interpretar express\u00f5es matem\u00e1ticas envolvendo pot\u00eancias e crescimento exponencial. Em concursos p\u00fablicos, esse tema aparece frequentemente em quest\u00f5es que exigem [&hellip;]<\/p>\n","protected":false},"author":3098,"featured_media":1758240,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"post_tipo":"article","footnotes":""},"categories":[2313,1,3766,220184,220242,214992,220181,1983,220182,220183,222427,1988,222278,220191,222408,1984,220737,214710,222239,222235,222236,222237],"tags":[],"tax_estado":[219964,219965,219966,219967,219968,219969,219963,219970,219971,219972,219973,219974,219975,219976,219977,219978,219979,219980,219981,219982,219983,219984,219985,219986,219987,219988,219989,219990],"class_list":["post-1761920","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-carreiras-bancarias","category-cursos-e-concursos","category-educacional","category-engenharias-e-ti","category-estrategia-militares","category-concursos-administrativos","category-area-financeira","category-fiscal-estadual","category-fiscal-federal","category-fiscal-municipal","category-petrobras","category-policia","category-prefeituras","category-previdenciaria","category-tecnologia-da-informacao","category-tribunais","category-tribunais-tribunais","category-tribunais-de-contas","category-tribunais-regionais-federais","category-tribunal-de-justica","category-tribunal-regional-do-trabalho","category-tribunal-regional-eleitoral","tax_estado-ac","tax_estado-al","tax_estado-am","tax_estado-ap","tax_estado-ba","tax_estado-ce","tax_estado-concursos-federais","tax_estado-df","tax_estado-es","tax_estado-go","tax_estado-ma","tax_estado-mg","tax_estado-ms","tax_estado-mt","tax_estado-pa","tax_estado-pb","tax_estado-pe","tax_estado-pi","tax_estado-pr","tax_estado-rj","tax_estado-rn","tax_estado-ro","tax_estado-rr","tax_estado-rs","tax_estado-sc","tax_estado-se","tax_estado-sp","tax_estado-to"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.4 (Yoast SEO v28.4) - 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