SOLUTION: how do you solve for ln(x+1) - ln(x-3)=ln(x) thanks

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Question 291884: how do you solve for
ln(x+1) - ln(x-3)=ln(x)
thanks
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x+1) - ln(x-3)=ln(x)

ln((x+1)/(x-3))=ln(x)


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

x+1 = x(x-3)

x+1 = x^2-3x

x^2-4x-1 = 0

x = 2 + sqrt(5) <-------------- Answer