Question

me ajude por favor
$log_{ \sqrt{8} } \sqrt{32}$

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Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf{log_{\sqrt{8}}\:\sqrt{32} = log_{\sqrt{2^3}}\:\sqrt{2^5}}$

$\sf{log_{\sqrt{8}}\:\sqrt{32} = log_{2^{\frac{3}{2}}}\:2^{\frac{5}{2}}}$

$\sf{log_{\sqrt{8}}\:\sqrt{32} = \dfrac{5}{\not2}\:.\:\dfrac{\not2}{3}\:.\:log_2\:2}$

$\sf{log_{\sqrt{8}}\:\sqrt{32} = \dfrac{5}{3}\:.\:1}$

$\boxed{\boxed{\sf{log_{\sqrt{8}}\:\sqrt{32} = \dfrac{5}{3}}}}$