SOLUTION: log(5x+8)=1+log(x-5) solve for x I keep getting 58/5, which is obviously incorrect

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Question 304675: log(5x+8)=1+log(x-5)
solve for x
I keep getting 58/5, which is obviously incorrect

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(5x+8)=1+log(x-5)
solve for x
-----------
log(5x+8)-log(x-5) = 1
----
log[(5x+8)/(x-5)] = 1
----
(5x+8)/(x-5) = 10
-----
5x+8 = 10(x-5)
----
5x-10x = -50-8
-5x = -58
x = 58/5
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Cheers,
Stan H.