# Hello friends, please, I need to know how to get the answer out of this exponential equation? thank you

Nov 6, 2016

Write in equivalent bases.

${\left({5}^{2}\right)}^{x - 4} = {\left({5}^{- 1}\right)}^{2 x}$

${5}^{2 x - 8} = {5}^{- 2 x}$

We can now eliminate bases since the bases are equivalent.

$2 x - 8 = - 2 x$

$4 x = 8$

$x = 2$

Hopefully this helps!