Question

) log 2 na na base V8

Answer 1

Explicação passo-a-passo:

$log_{ \sqrt{8} }(2) = x$

$( \sqrt{8} {)}^{x} = 2$

$( {8}^{ \frac{1}{2} } {)}^{x} = 2$

$(8 {)}^{ \frac{x}{2} } = 2$

$( {2}^{3} {)}^{ \frac{x}{2} } = 2$

${2}^{ \frac{3x}{2} } = 2$

$\frac{3x}{2} = 2$

$3x = 4$

$x = \frac{4}{3}$