Question

Equação exponencial 25^x-²=625^-³x?

Answer 1

x será igual á 2/7.

Answer 2

$25^{x-2}=625^{-3x}$

Observe que $625=25^2$

$25^{x-2}=(25^2)^{-3x}$

$25^{x-2}=25^{-6x}$

Igualando os expoentes:

$x-2=-6x~\longrightarrow~x+6x=2$

$7x=2~\longrightarrow~\boxed{x=\dfrac{2}{7}}$

$\text{S}=\{\frac{2}{7}\}$