Question

Quanto é log de raiz cubica de 64 com base 2

Answer 1

Bom dia Luciano!

Solução!

64|2
32|2
16|2
  8|2
  4|2
  2|2
  1

$64=2^{6}$

$log_{2} \sqrt[3]{4}\\\\\\ log_{2} \sqrt[3]{4}=x\\\\\\\ \sqrt[3]{64} =2^{x}\\\\\\\ \sqrt[3]{2^{6} }=2^{x}\\\\\\\ 2^{ \frac{6}{3} }=2 ^{x}\\\\\\\ 2^{2}=2^{x}\\\\\\ x=2$

$\boxed{Resposta:log_{2} \sqrt[3]{4}=2}$

Bom dia!

Bons estudos!