SOLUTION: Solve for x. logx(x+6) = 2 Check the validity of each solution in the original equation.

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Question 437727: Solve for x.
logx(x+6) = 2
Check the validity of each solution in the original equation.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I presume you mean log base x... if not, please write back.
.
log%28x%2C%28x%2B6%29%29+=+2
%28x%2B6%29+=+x%5E2
+6+=+x%5E2-x
+0+=+x%5E2-x-6
+0+=+%28x-3%29%28x%2B2%29
x = {-2, 3}
you can toss out the negative solution (extraneous) leaving
x = 3