SOLUTION: Hi I'm Kelly and my question is, Use the properties of logarithms to condense the following logarithmic expression. 1/2logx + 4log2w + 4log3y - 3logz I came out with log x^1/

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Question 743927: Hi I'm Kelly and my question is, Use the properties of logarithms to condense the following logarithmic expression.
1/2logx + 4log2w + 4log3y - 3logz
I came out with log x^1/2 + log w^8 + log y^12 -log z^3
then for my final answer= log(x^1/2 w^8 y^12/ (with z^3 on the bottom)
Thank you!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
condense the following logarithmic expression.
1/2logx + 4log2w + 4log3y - 3logz
I came out with log x^1/2 + log w^8 + log y^12 -log z^3
-----------
= log(x^(1/2) + log(16w^4) + log(81y^4) - log(z^3)
=
then for my final answer= log(x^1/2 w^8 y^12/ (with z^3 on the bottom)
You treated 2w as if 2 was an exponent.

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