Question

Resolva a equação exponencial:
$0. {6}^{x} = \frac{5}{3}$

Answer 1

Resposta:

$\boxed{\boxed{\mathsf{x=-1}}}$

Explicação passo-a-passo:

Temos:

$\mathsf{0,6^{x}=\dfrac{5}{3}}$

Faz-se:

$\mathsf{\bigg(\dfrac{6}{10}\bigg)^{x}=\dfrac{5}{3}}\\ \\ \\ \mathsf{\bigg(\dfrac{3}{5}\bigg)^{x}=\dfrac{5}{3}}\\ \\ \\ \mathsf{\bigg(\dfrac{3}{5}\bigg)^{x}=\bigg(\dfrac{3}{5}\bigg)^{-1}}\\ \\ \\ \mathsf{x=-1}$