SOLUTION: Log(base 2) (x+1)-log(base 4) x=1

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Question 877068: Log(base 2) (x+1)-log(base 4) x=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Log(base 2) (x+1)-log(base 4) x=1
log%282%2C%28x%2B1%29%29-log%284%2C%28x%29=1%29
log%282%2C%28x%2B1%29%29-%28log%282%2C%28x%29%29%2Flog%282%2C%284%29%29%29=1
log%282%2C%28x%2B1%29%29-%28log%282%2C%28x%29%29%2F2%29=1
2log%282%2C%28x%2B1%29%29-log%282%2C%28x%29=2%29
log%282%2C%28%28x%2B1%29%5E2%2Fx%29%29=2
(x+1)^2/x=4
x^2+2x+1=4x
x^2-2x+1=0
(x-1)(x-1)=0
x=1 (multiplcity 2)