SOLUTION: Use logarithms to solve the equation 5^x=2^2x+1, giving your answer correct to 3 significant figures.

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Question 865522: Use logarithms to solve the equation 5^x=2^2x+1, giving your answer correct to 3 significant figures.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Use logarithms to solve the equation 5%5Ex+=+2%5E%282x%2B1%29
the log equiv of exponents
xlog%285%29+=+%282x%2B1%29log%28%282%29%29%29
find the log of 5 and 2
.699x = .301(2x+1)
.699x = .602x + .301
.699x - .602x = .301
.097x = .301
x = .301%2F.097
x = 3.103