SOLUTION: i need help solving: log(x-6)-log(x-2)=log5/x

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Question 195409: i need help solving: log(x-6)-log(x-2)=log5/x
Answer by radikrr(7) About Me  (Show Source):
You can put this solution on YOUR website!
log(x-6)-log(x-2)=log5/x x>6; x>2 ; x>0
log((x-6)/(x-2))=log(5/x)
(x-6)(x-2)=5/x x(x-6)=5(x-2)
x^2-6x=5x-10
x^2-11x+10=0
x=1 x=10 1<6 not
Ans x=10