SOLUTION: Question: Solve log(subscript 2)(x)+log(subscript2)(x+2)=3.

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Question 201507: Question: Solve log(subscript 2)(x)+log(subscript2)(x+2)=3.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Apply log rules:
log%282%2Cx%29%2Blog%282%2C%28x%2B2%29%29=3
log%282%2Cx%28x%2B2%29%29=3
x%28x%2B2%29=+2%5E3
x%5E2%2B2x=+8
x%5E2%2B2x-8=0
%28x%2B4%29%28x-2%29=0
.
x = {-4, 2}
We can throw out the negative solution leaving:
x = {2}