SOLUTION: What is the answer to {{{(1/5)^(x-2) = 125^(x/2)}}} I don't understand ho w to do this problem at all. THANKS!

SOLUTION: What is the answer to {{{(1/5)^(x-2) = 125^(x/2)}}} I don't understand ho w to do this problem at all. THANKS!

Algebra.Com

Question 256241: What is the answer to
I don't understand ho w to do this problem at all.
THANKS!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
[5^(-1)]^(x-2) = (5^3)^(x/2)

5^(2-x) = 5^(3x / 2)

2 - x = 3x / 2 ___ 4 - 2x = 3x ___ 4 = 5x ___ 4/5 = x
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