{"id":21329,"date":"2021-05-13T17:36:04","date_gmt":"2021-05-13T20:36:04","guid":{"rendered":"https:\/\/beduka.com\/blog\/?p=21329"},"modified":"2021-05-13T17:49:12","modified_gmt":"2021-05-13T20:49:12","slug":"exercicios-sobre-funcao-logaritmica","status":"publish","type":"post","link":"https:\/\/beduka.com\/blog\/exercicios\/matematica-exercicios\/exercicios-sobre-funcao-logaritmica\/","title":{"rendered":"Os 5 Melhores Exerc\u00edcios sobre fun\u00e7\u00e3o logar\u00edtmica com Gabarito"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote\"><p><strong>As fun\u00e7\u00f5es logar\u00edtmicas s\u00e3o definidas por<em> f(x) =<\/em> Logax, em que o dom\u00ednio e o contradom\u00ednio s\u00e3o o conjunto dos n\u00fameros reais positivos, com a diferente de 1. Leia o resumo abaixo para entender melhor e em seguida resolva os exerc\u00edcios sobre fun\u00e7\u00e3o logar\u00edtmica<\/strong><\/p><\/blockquote>\n\n\n\n<p><strong>Quer seguir diretamente para alguma parte espec\u00edfica?<\/strong> Clique em algum dos t\u00f3picos abaixo<\/p>\n\n\n\n<ul><li><a href=\"#fun\u00e7\u00f5es-logar\u00edtmicas\" data-type=\"internal\" data-id=\"#fun\u00e7\u00f5es-logar\u00edtmicas\">O que s\u00e3o fun\u00e7\u00f5es logar\u00edtmicas<\/a>?<\/li><li><a href=\"#exerc\u00edcios-sobre-fun\u00e7\u00f5es-logar\u00edtmicas\" data-type=\"internal\" data-id=\"#exerc\u00edcios-sobre-fun\u00e7\u00f5es-logar\u00edtmicas\">Exerc\u00edcios sobre fun\u00e7\u00f5es logar\u00edtmicas.<\/a><\/li><li><a href=\"#gabarito-dos-exerc\u00edcios-sobre-as-fun\u00e7\u00f5es-logar\u00edtmicas\" data-type=\"internal\" data-id=\"#gabarito-dos-exerc\u00edcios-sobre-as-fun\u00e7\u00f5es-logar\u00edtmicas\">Gabarito dos exerc\u00edcios sobre as fun\u00e7\u00f5es logar\u00edtmicas<\/a>.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"fun\u00e7\u00f5es-logar\u00edtmicas\">O que s\u00e3o fun\u00e7\u00f5es logar\u00edtmicas?<\/h2>\n\n\n\n<p>As fun\u00e7\u00f5es logar\u00edtmicas s\u00e3o aquelas que possuem um <a href=\"https:\/\/beduka.com\/blog\/materias\/matematica\/logaritmo\/\" target=\"_blank\" rel=\"noreferrer noopener\">logaritmo <\/a>na sua lei de forma\u00e7\u00e3o e se definem pela express\u00e3o <em>f(x) = <\/em><strong><em>&nbsp;logax<\/em><\/strong>, tendo como condi\u00e7\u00e3o de exist\u00eancia que <strong>a <\/strong>seja diferente de 1 e maior que 0.<\/p>\n\n\n\n<p>O dom\u00ednio das fun\u00e7\u00f5es logar\u00edtmicas, isto \u00e9, os n\u00fameros poss\u00edveis para <strong>x<\/strong>, <strong>\u00e9 o conjunto dos n\u00fameros reais positivos e maiores que 0<\/strong>.<\/p>\n\n\n\n<p>A imagem das fun\u00e7\u00f5es logar\u00edtmicas \u00e9 o <strong>conjunto de todos os n\u00fameros reais<\/strong>.<\/p>\n\n\n\n<p>O gr\u00e1fico da fun\u00e7\u00e3o logar\u00edtmica ser\u00e1 crescente ou decrescente a depender do valor de <strong>a<\/strong>. Assim, quando a&gt;1, o gr\u00e1fico ser\u00e1 crescente; quando 0&lt;a&lt;1, o gr\u00e1fico ser\u00e1 decrescente. Como os valores poss\u00edveis para x s\u00e3o positivos, a fun\u00e7\u00e3o estar\u00e1 sempre nos 1\u00b0 e 4\u00b0 quadrantes.<\/p>\n\n\n\n<p><strong>A fun\u00e7\u00e3o logar\u00edtmica \u00e9 a inversa da fun\u00e7\u00e3o exponencial.<\/strong><\/p>\n\n\n\n<p>Agora que voc\u00ea j\u00e1 lembrou as defini\u00e7\u00f5es das fun\u00e7\u00f5es logar\u00edtmicas, resolva as quest\u00f5es abaixo!<\/p>\n\n\n\n<ul><li><strong>S\u00e3o mais de 200 resumos gratuitos para o ENEM<\/strong> no <a href=\"https:\/\/www.instagram.com\/beduka_oficial\/\" target=\"_blank\" rel=\"noreferrer noopener\">Instagram do Beduka<\/a>, aproveite!<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"exerc\u00edcios-sobre-fun\u00e7\u00f5es-logar\u00edtmicas\">Exerc\u00edcios sobre fun\u00e7\u00f5es logar\u00edtmicas<\/h2>\n\n\n\n<p><strong>Quest\u00e3o 1- <\/strong><a href=\"http:\/\/www.ufrgs.br\/ufrgs\/inicial\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>(UFRGS-2018)<\/strong><\/a><strong> <\/strong>Se log3x +log9x = 1, ent\u00e3o o valor de x \u00e9:<\/p>\n\n\n\n<p><strong>a) <\/strong>\u221b2<\/p>\n\n\n\n<p><strong>b) <\/strong>\u221a2<\/p>\n\n\n\n<p><strong>c) <\/strong>\u221b3<\/p>\n\n\n\n<p><strong>d) <\/strong>\u221a3<\/p>\n\n\n\n<p><strong>e)<\/strong> \u221b9<\/p>\n\n\n\n<p><strong>Quest\u00e3o 2- (<\/strong><a href=\"https:\/\/www.pucminas.br\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>PUC &#8211; MG<\/strong><\/a><strong>) <\/strong>Se log<sub>n<\/sub>3&gt; log<sub>n<\/sub>5, ent\u00e3o:<\/p>\n\n\n\n<p><strong>a)<\/strong> a &lt; -1<\/p>\n\n\n\n<p><strong>b) <\/strong>a &gt; 3<\/p>\n\n\n\n<p><strong>c) <\/strong>-1 &lt; a &lt; 0<\/p>\n\n\n\n<p><strong>d) <\/strong>0 &lt; a &lt; 1<\/p>\n\n\n\n<p><strong>Quest\u00e3o 3-<\/strong> <a href=\"http:\/\/www.ufrgs.br\/ufrgs\/inicial\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>(UFRGS-2017)<\/strong><\/a><strong> <\/strong>Se log<sub>5<\/sub>x = 2 e log<sub>10<\/sub>y = 4, ent\u00e3o log<sub>20<\/sub>y\/x \u00e9:<\/p>\n\n\n\n<p><strong>a)<\/strong> 2<\/p>\n\n\n\n<p><strong>b) <\/strong>4<\/p>\n\n\n\n<p><strong>c)<\/strong> 6<\/p>\n\n\n\n<p><strong>d) <\/strong>8<\/p>\n\n\n\n<p><strong>e) <\/strong>10<\/p>\n\n\n\n<ul><li><strong>Muito bem! <\/strong>Voc\u00ea chegou \u00e0 metade dos exerc\u00edcios sobre fun\u00e7\u00e3o logar\u00edtmica. Continue fazendo o restante.<\/li><\/ul>\n\n\n\n<p><strong>Quest\u00e3o 4- <\/strong><a href=\"https:\/\/www.ufg.br\/\"><strong>(UFG)<\/strong><\/a><strong> <\/strong>Se log<sub>2<\/sub>(x-y)= a e x+y= 8, ent\u00e3o log<sub>2<\/sub>(x<sup>2<\/sup>&#8211; y<sup>2<\/sup>) vale<\/p>\n\n\n\n<p><strong>a) <\/strong>2 + a<\/p>\n\n\n\n<p><strong>b) <\/strong>3a<\/p>\n\n\n\n<p><strong>c) <\/strong>3 + a<\/p>\n\n\n\n<p><strong>d) <\/strong>8a<\/p>\n\n\n\n<p><strong>e) <\/strong>8 + a<\/p>\n\n\n\n<p><strong>Quest\u00e3o 5- (<\/strong><a href=\"https:\/\/www.pucrs.br\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>PUC &#8211; RS<\/strong><\/a><strong>) <\/strong>Um aluno do Ensino M\u00e9dio deve resolver a equa\u00e7\u00e3o 2<sup>x<\/sup> = 3 com o uso da calculadora. Para que seu resultado seja obtido em um \u00fanico passo, e aproxime-se o mais poss\u00edvel do valor procurado, sua calculadora dever\u00e1 possuir a tecla que indique a aplica\u00e7\u00e3o da fun\u00e7\u00e3o f definida por<\/p>\n\n\n\n<p><strong>a<\/strong>) f ( s ) = s\u00b2<\/p>\n\n\n\n<p><strong>b) <\/strong>f ( s ) = 2s &#8211; 3<\/p>\n\n\n\n<p><strong>c) <\/strong>f ( s ) = 2s<\/p>\n\n\n\n<p><strong>d) <\/strong>f ( s ) = log ( s )<\/p>\n\n\n\n<p><strong>e) <\/strong>f ( s ) = log<sub>2<\/sub>( s )<\/p>\n\n\n\n<ul><li><strong>Parab\u00e9ns,<\/strong> voc\u00ea fez todos os exerc\u00edcios sobre fun\u00e7\u00f5es logar\u00edtmicas. Confira agora o Gabarito:<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"gabarito-dos-exerc\u00edcios-sobre-as-fun\u00e7\u00f5es-logar\u00edtmicas\">Gabarito dos exerc\u00edcios sobre as fun\u00e7\u00f5es logar\u00edtmicas.<\/h2>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 1 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: letra <strong>e) <\/strong>\u221b9<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 2 &#8211;<\/strong><\/p>\n\n\n\n<p>alternativa correta: letra <strong>d) <\/strong>0 &lt; a &lt; 1<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 3 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: letra <strong>a) <\/strong>2<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 4 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: letra <strong>c) <\/strong>3+a<\/p>\n\n\n\n<p><strong>Exerc\u00edcio resolvido da quest\u00e3o 5 &#8211;<\/strong><\/p>\n\n\n\n<p>Alternativa correta: letra <strong>&nbsp;e) <\/strong>f ( s ) = log<sub>2<\/sub>( s )<\/p>\n\n\n\n<p>Estude para o Enem com o <a href=\"https:\/\/beduka.com\/simulado\" target=\"_blank\" rel=\"noreferrer noopener\">Simulado Beduka.<\/a> <strong>\u00c9 gratuito!<\/strong><\/p>\n\n\n\n<p><strong>Gostou das nossas quest\u00f5es sobre as fun\u00e7\u00f5es logar\u00edtmicas? <\/strong>Compartilhe com os seus amigos e comente abaixo sobre as \u00e1reas que voc\u00ea deseja mais explica\u00e7\u00f5es.<\/p>\n\n\n\n<p><strong>Queremos te ajudar a encontrar a FACULDADE IDEAL! <\/strong>Logo abaixo, fa\u00e7a uma pesquisa por curso e cidade que te mostraremos todas as faculdades que podem te atender.<strong> <\/strong>Informamos a nota de corte, valor de mensalidade, nota do MEC, avalia\u00e7\u00e3o dos alunos, modalidades de ensino e muito mais.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Leia nosso resumo e lembre dos pontos MAIS IMPORTANTES sobre fun\u00e7\u00f5es logar\u00edtmas. Depois teste seu conhecimento com os 5 MELHORES exerc\u00edcios de vestibular.<\/p>\n","protected":false},"author":18,"featured_media":21340,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"categories":[568,610],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.10 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Os 5 Melhores Exerc\u00edcios sobre fun\u00e7\u00e3o logar\u00edtmica com Gabarito<\/title>\n<meta name=\"description\" content=\"Leia nosso RESUMO e lembre o principal sobre fun\u00e7\u00f5es logar\u00edtmas. 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