SOLUTION: Solve the following equation for x. log3x + log3(x-6)=3

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Question 866917: Solve the following equation for x.
log3x + log3(x-6)=3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%28x%29%29+%2B+log%283%2C%28x-6%29%29=3
log%283%2C%28x%28x-6%29%29%29=3
x%28x-6%29=3%5E3
x%5E2-6x=27
x%5E2-6x-27=0
%28x-9%29%28x%2B3%29=0
Two solutions:
x-9=0
x=9
and
x%2B3=0
x=-3
However this solution is not valid since log%283%2C%28-3%29%29 does not exist.