SOLUTION: if 125^x = 25/5^x, find x

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Question 908111: if 125^x = 25/5^x, find x
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
125%5Ex=25%2F5%5Ex
%285%5E3%29%5Ex=5%5E2%2F5%5Ex
5%5E%283x%29=5%5E%282-x%29
The base is the same for both members, so the exponents are equal.
3x=2-x
4x=2
highlight%28x=2%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

if 125^x = 25/5^x, find x


highlight_green%28x+=+1%2F2%29

You can do the check!! 



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