SOLUTION: solve: log base 3 (x+7)-log base 3 x=3 please help me figure this out thanks a lot

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Question 48476: solve:
log base 3 (x+7)-log base 3 x=3
please help me figure this out
thanks a lot
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
ok then, log base3. I shant write the 3 for sake of clarity.

log(x+7)-log(x) = 3

So, we have 2 log terms separated by a minus. So we can combine them as a division.

log((x+7)/x) = 3

And now we can remove the log by doing the "opposite" which is raise to base 3:
+%28x%2B7%29%2Fx+=+3%5E3+
+%28x%2B7%29%2Fx+=+27+
+x%2B7+=+27x+
+7+=+26x+
x = 7/26

jon