SOLUTION: Solve the following logarithmic equation: log(9)(x-6)+log(9)(x+2)=1

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Question 740883: Solve the following logarithmic equation:
log(9)(x-6)+log(9)(x+2)=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following logarithmic equation:
log(9)(x-6)+log(9)(x+2)=1
log%289%2C%28x-6%29%29%2Blog%289%2C%28x%2B2%29%29=1
log%289%2C%28x-6%29%28x%2B2%29%29=1
log%289%2C%28x-6%29%28x%2B2%29%29=log%289%2C%289%29%29
(x-6)(x+2)=9
x^2-4x-12-9=0
x^2-4x-21=0
(x-7)(x+3)=0
x=-3 (reject, (x+2)>0)
x=7