SOLUTION: please could you help me solve for x: ln(x-5)+ln(x-6)=ln(16-2x)

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Question 587167: please could you help me solve for x:
ln(x-5)+ln(x-6)=ln(16-2x)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x-5)+ln(x-6)=ln(16-2x)
ln(x-5)(x-6)=ln(16-2x)
(x-5)(x-6)=(16-2x)
x^2-11x+30 = 16-2x
x^2-9x+30 = 16
x^2-9x+14 = 0
(x-7)(x-2) = 0
x = {2, 7}
2 is an extraneous answer -- throw it out leaving:
x = 7