SOLUTION: Write as a single logarithm with only positive powers: - log x - 4log y + 5log(x +1)

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Question 705638: Write as a single logarithm with only positive powers: - log x - 4log y + 5log(x +1)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
-+log+x+-+4log+y+%2B+5log%28x+%2B1%29 (this and following steps showing up wrong)
= -1%28log%28x%29%2Blog%28y%29%29%2B5log%28x%2B1%29
= -1%28log%28xy%29%29%2B5log%28x%2B1%29
= 5%2Alog%28x%2B1%29-log%28xy%29
= log%28x%2B1%29%5E5-log%28xy%29
= log%28%28x%2B1%29%5E5%2F%28xy%29%29, the answer. Yes, correct.
(again, still learning some of the typesetting. Some of the steps are not showing up correctly.)

In plain text, the steps are
-1(log(x)+log(y))+5log(x+1)
= -1(log(xy))+5log(x+1)
= 5*log(x+1)-log(xy)
= log(x+1)^5-log(xy)