SOLUTION: Find the solution(s) of the equation? log(x-1)-log(x+6)=log(x-2)-log(x+3)

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Question 236508: Find the solution(s) of the equation?
log(x-1)-log(x+6)=log(x-2)-log(x+3)
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
log(x-1)-log(x+6)=log(x-2)-log(x+3)

log((x-1)/(x+6))=log((x-2)/(x+3))

(x-1)/(x+6)=(x-2)/(x+3)

(x-1)(x+3)=(x-2)(x+6)

x^2+2x-3=x^2+4x-12

2x=9
x=9/2 <---------- Answer