SOLUTION: use properties of logarithms to solve each equation. express answers to three decimal places. 5^2x+1 = 125^x

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Question 199634: use properties of logarithms to solve each equation. express answers to three decimal places.
5^2x+1 = 125^x
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
5%5E%282x%2B1%29+=+125%5Ex
%282x%2B1%29%2Alog%285%29+=+x%2Alog%28125%29
%282x%2B1%29%2A0.69897+=+x%2A2.0969
2x%2B1+=+3x
1+=+x
So does 5^3 = 125^1 ???
Another way to look at this is to know that 125 = 5^3
So, you could have done this.
5%5E%282x%2B1%29+=+125%5Ex
5%5E%282x%2B1%29+=+5%5E3x
2x%2B1+=+3x
x+=+1
same thing.