SOLUTION: log(x+3)-log(x-3)=log(x-1) how do I solve?
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Question 691417: log(x+3)-log(x-3)=log(x-1) how do I solve?
Found 2 solutions by stanbon, mouk:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log(x+3)-log(x-3)=log(x-1)
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log[(x+3)/(x-3)] = log(x-1)
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Take the anti-log of both sides to get:
(x+3)/(x-3) = x-1
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Cross-multiply:
x+3 = x^2-4x+3
----
x^2 -5x = 0
Factor:
x(x-5) = 0
x = 0 or x = 5
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Cheers,
Stan H.
====================
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
(using )
(taking anti-logarithms)
so or
But original question had so or
so, solution is
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