Question

Equação exponencial (1/125) elevado a x=25a) -3/2b) 3/2c) 2/3d) -2/3Desde já agradeço a ajuda.

Answer 1

Olá!

$\\ \mathsf{\left ( \frac{1}{125} \right )^x = 25} \\\\\\ \mathsf{\left ( \frac{1}{5^3} \right )^x = 5^2} \\\\\\ \mathsf{\left [ \left ( 5 \right )^{- 3} \right ]^x = 5^2} \\\\ \mathsf{5^{- 3x} = 5^2} \\\\ \mathsf{- 3x = 2} \\\\ \boxed{\mathsf{x = - \frac{2}{3}}}$