SOLUTION: log6(15-x)+log6(x)=2 solve for x

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Question 325392: log6(15-x)+log6(x)=2
solve for x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log6(15-x)+log6(x)=2
log%286%2C%2815-x%29%29+%2B+log%286%2C%28x%29%29+=+log%286%2C36%29 6^2 = 36
log%286%2Cx%2815-x%29%29+=+log%286%2C36%29
x(15-x) = 36
x%5E2+-+15x+%2B+36+=+0
(x-3)*(x-12) = 0
x = 3, 12