Question

sabendo que log 2 = 0,301 calcule o log de raiz de 512 na 5 potência

Answer 1

$log 2 = 0,301 \\ \\ log (\sqrt{512} )^{5} = 5.log \sqrt{512}=5.log 512^{ \frac{1}{2}} = \frac{1}{2} .5.log 512 = \frac{5}{2} . log 2^{9} \\ \\ 9.\frac{5}{2} .log 2 = \frac{45}{2} .0,301 = \frac{13,545}{2} = 6,7725$

Espero ter ajudado.