Question

Quanto vale LOG de 4 raiz quadrada de 2, com base 8?

Answer 1

$\mathrm{\ell og}_{8\,}(4\sqrt{2})=x\;\;\Rightarrow\;\;8^{x}=4\sqrt{2}\\ \\ \\ (2^{3})^{x}=2^{2}\cdot 2^{1/2}\\ \\ 2^{3x}=2^{2+(1/2)}\\ \\ 2^{3x}=2^{5/2}\\ \\ \\ 3x=\dfrac{5}{2}\\ \\ x=\dfrac{5}{6}\\ \\ \\ \Rightarrow\;\;\boxed{ \begin{array}{c} \mathrm{\ell og}_{8\,}(4\sqrt{2})=\dfrac{5}{6} \end{array} }$

Answer 2

Resposta:

Explicação passo-a-passo:

Log)(4√2) base 8?