SOLUTION: Solve for X. Log6(X-5)=-LOG6X+2

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Question 748628: Solve for X.
Log6(X-5)=-LOG6X+2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for X.
Log6(X-5)=-LOG6X+2
log%286%2C%28x-5%29%29%2Blog%286%2C%28x%29%29=2
log%286%2C%28x-5%29%28x%29%29=2
x(x-5)=6^2
x^2-5x-36=0
(x-9)(x+4)=0
x=-4 (reject, x>0)
x=9