Question

resolva a equaçao (3/5)^2x=125/27 ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left(\dfrac{3}{5}\right)^{2x} = \dfrac{125}{27}}$

$\mathsf{\left(\dfrac{3}{5}\right)^{-2x} = \dfrac{27}{125}}$

$\mathsf{\left(\dfrac{3}{5}\right)^{-2x} = \dfrac{3^3}{5^3}}$

$\mathsf{\left(\dfrac{3}{5}\right)^{-2x} = \left(\dfrac{3}{5}\right)^{3}}$

$\mathsf{-2x = 3}$

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