Question

como resolver logaritimo de raiz 32 na base 8 ?

Answer 1

Olá, Flávia.

$\log_8\sqrt{32}=\\\\=\log_{2^3}\sqrt{2^5}=\\\\=\log_{2^3}2^{\frac52}=\\\\=\frac52\log_{2^3}2=\\\\=\frac52\cdot\frac1{\log_{2}2^3}=\\\\=\frac52\cdot\frac1{3\log_{2}2}=\\\\=\frac52\cdot\frac1{3\cdot1}=\\\\=\boxed{\frac56}$