Question

calcule o valor dos logaritmos log1/8 4√2​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_{\frac{1}{8}}\:4\sqrt{2} = x}$

$\mathsf{\left(\dfrac{1}{8}\right)^x = 4\sqrt{2}}$

$\mathsf{2^{-3x} = 2^2.2^{\frac{1}{2}}}$

$\mathsf{2^{-3x} = 2^{\frac{5}{2}}}$

$\mathsf{-3x = \dfrac{5}{2}}$

$\boxed{\boxed{\mathsf{log_{\frac{1}{8}}\:4\sqrt{2} = -\dfrac{5}{6}}}}$