SOLUTION: I need help solving this logarithmic equation log(x-14)-log5=log(x-12)-logx

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Question 129918: I need help solving this logarithmic equation
log(x-14)-log5=log(x-12)-logx
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
by rules of logs __ %28x-14%29%2F5=%28x-12%29%2Fx

"cross" multiplying __ (x-14)x=(x-12)5 __ x^2-14x=5x-60

subtracting 5x-60 __ x^2-19x+60=0

factoring __ (x-15)(x-4)=0

REMEMBER, logs are not defined for values <=0