SOLUTION: 2log(x+1) - log(x) = log4 need to show work.

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Question 864359: 2log(x+1) - log(x) = log4
need to show work.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2log(x+1) - log(x) = log4

log(x+1)^2 - log(x) = log4

log+%28%28x%2B1%29%5E2%2Fx%29=+log+4
%28x%2B1%29%5E2%2Fx+=4
(x+1)^2=4x
x^2+2x+1=4x
x^2-2x+1=0
(x-1)^2=0
x-1=0
x=1