SOLUTION: Log base 2 (x-2)+log base 2 x=3

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Question 849839: Log base 2 (x-2)+log base 2 x=3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28%28x-2%29%29%29%2Blog%282%2C%28x%29%29=3
log%282%2C%28x%28x-2%29%29%29=3
x%28x-2%29=8
x%5E2-2x-8=0
%28x-4%29%28x%2B2%29=0
Two possible solutions:
x-4=0
x=4
and
x%2B2=0
x=-2
However, log%282%2C%28-4%29%29 is not defined so this is not an allowed solution.