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

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Answer 1 · 2016-11-06T23:09:27

Write in equivalent bases.

#(5^2)^(x- 4) = (5^(-1))^(2x)#

#5^(2x- 8) = 5^(-2x)#

We can now eliminate bases since the bases are equivalent.

#2x - 8 = -2x#

#4x = 8#

#x = 2#

Hopefully this helps!