SOLUTION: Please help me solve: 5^2x+1 = 125^x and solve: 6^x+1 - 28 = -log 8

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Question 104111: Please help me solve: 5^2x+1 = 125^x and solve: 6^x+1 - 28 = -log 8
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Before we proceed, read my lesson,"An overview to the laws of logarithms" first then, go back to this page.


Using the logarithm,
5%5E2x%2B1+=+125%5Ex
log%285%5E2x%2B1%29+=+log%28125%5Ex%29
2x%2B1%28log+%285%29%29=x+log+%28125%29
2x%2B1%28log+%285%29%29=x+log+%285%5E3%29
2x%2B1%28log+%285%29%29=x+%283+log%285%29%29
%282x%2B1%28log+%285%29%29%29%2Flog%285%29=%28x+%283+log+%285%29%29%29%2Flog%285%29
2x%2B1=3x
2x-2x%2B1=3x-2x
x=1

Power up,
HyperBrain!