Question

Sabendo que log2 = 0 30 e log3 = 0 48, calcule o valor do 64​.

Answer 1

$\large\boxed{\begin{array}{l}\sf Sabendo\,que\,\ell og2=0,30~e~\ell og3=0,48,\\\sf calcule\,o\,valor\,de\,\ell og64.\\\underline{\sf soluc_{\!\!,}\tilde ao\!:}\\\begin{array}{c|c}\rm64&\rm2\\\rm 32&\rm2\\\rm16&\rm2\\\rm8&\rm2\\\rm4&\rm2\\\rm2&\rm2\\\rm1\end{array}\\\rm 64=2^6\\\rm \ell og64=\ell og2^6\\\rm\ell og64=6\cdot\ell og2\\\rm \ell og64=6\cdot0,30\\\rm \ell og64=1,80\end{array}}$

Answer 2

Resposta:

log64 = 1,8

Explicação passo a passo:

pode começar fatorando o 64. Encontrará os fatores: 2·2·2·2·2·2 = 2^6

log 64 =

log 2^6 =               Pela propriedade    log a^n  =  n log a    teremos:

6 · log 2 =              Log 2 = 0,3 então:

6 · 0,3 =

1,8