SOLUTION: log(5+x) - log(x-5)= log3

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Question 21228: log(5+x) - log(x-5)= log3
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
log(5+x) - log(x-5)= log3
log+%28%285%2Bx%29%2F%28x-5%29%29+=+log+3

If log+M+=+log+N, then M=+N

Therefore: %285%2Bx%29%2F%28x-5%29+=+3+

Multiply both sides by the LCD which is (x-5):
+5%2Bx+=+3%28x-5%29+
5%2Bx+=+3x+-15
-2x+=+-20
x=10

Check answers to make sure you do not have a log of any negatives. You do not, so the answer is valid.

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