SOLUTION: Expand using properties of logarithms: log (xy^2) ------ (Y)

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Question 38684: Expand using properties of logarithms:
log (xy^2)
------
(Y)
Answer by jcmtnez(53) About Me  (Show Source):
You can put this solution on YOUR website!
The logarithm of a product of two number is the sum of the logarithms of both numbers:
log(xy)=log(x)+log(y)
and otherwise(similary):
log(x/y)=log(x)-log(y)
Then:
log(xy^2)=log(x)+log(y^2)
log%28xy%5E2%29=log%28x%29%2Blog%28y%5E2%29
log(xy^2)/log(y)=log(x)+log(y^2)-log(y)
log%28xy%5E2%29%2Flog%28y%29=log%28x%29%2Blog%28y%5E2%29-log%28y%29