{"id":357,"date":"2020-03-27T23:01:42","date_gmt":"2020-03-28T02:01:42","guid":{"rendered":"http:\/\/cinoto.com.br\/matematica\/?p=357"},"modified":"2020-03-27T23:01:42","modified_gmt":"2020-03-28T02:01:42","slug":"se-log-5-na-base-2-e-igual-a-n","status":"publish","type":"post","link":"http:\/\/cinoto.com.br\/matematica\/se-log-5-na-base-2-e-igual-a-n\/","title":{"rendered":"1) Se log 5 na base 2 \u00e9 igual a n, ent\u00e3o log 5 na base 10 vale:"},"content":{"rendered":"\n<p>a)\u00a0n\/(n-1) \u00a0 \u00a0\u00a0b)\u00a0n\/(n+1) \u00a0 \u00a0\u00a0c)\u00a01\/n \u00a0 \u00a0\u00a0d)\u00a02n\u00a0 \u00a0 \u00a0e)\u00a010n<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Resolu\u00e7\u00e3o:<\/h2>\n\n\n\n<p>Se sabemos que log<sub>2<\/sub>5 = n, podemos achar o log<sub>2<\/sub>10 assim:<\/p>\n\n\n\n<p>= log<sub>2<\/sub>10<\/p>\n\n\n\n<p>= log<sub>2<\/sub>(2.5)<\/p>\n\n\n\n<p>= log<sub>2<\/sub>2 + log<sub>2<\/sub>5<\/p>\n\n\n\n<p>= 1 + log<sub>2<\/sub>5<\/p>\n\n\n\n<p>= 1 + n<\/p>\n\n\n\n<p>Agora como queremos log<sub>10<\/sub>5, podemos usar a regra de mudan\u00e7a de base:<\/p>\n\n\n\n<p>= log<sub>10<\/sub>5<\/p>\n\n\n\n<p>= (log<sub>2<\/sub>5)\/(log<sub>2<\/sub>10)<\/p>\n\n\n\n<p>= n\/(n + 1)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>a)\u00a0n\/(n-1) \u00a0 \u00a0\u00a0b)\u00a0n\/(n+1) \u00a0 \u00a0\u00a0c)\u00a01\/n \u00a0 \u00a0\u00a0d)\u00a02n\u00a0 \u00a0 \u00a0e)\u00a010n<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[28],"class_list":["post-357","post","type-post","status-publish","format-standard","hentry","category-logaritmo","tag-facil"],"_links":{"self":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/357","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/comments?post=357"}],"version-history":[{"count":1,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/357\/revisions"}],"predecessor-version":[{"id":358,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/357\/revisions\/358"}],"wp:attachment":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/media?parent=357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/categories?post=357"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/tags?post=357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}