SOLUTION: how do i find the answer to this logarithm? 5^x+2=25^x

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Question 585897: how do i find the answer to this logarithm?
5^x+2=25^x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5^(x+2)=25^x

5^(x+2)=(5^2)^x

5^(x+2)=5^(2x)

Since the bases are equal, the exponents are equal

x+2=2x

2 = 2x-x

2 = x

x = 2

So the answer is x = 2
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