SOLUTION: how to expand this problem: ln 5x^3y^2

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Question 396918: how to expand this problem: ln 5x^3y^2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
ln%285x%5E3y%5E2%29
"Expand" is a vague term. I am guessing at its meaning.

First we can use the property of logarithm, log%28a%2C+%28p%2Aq%29%29+=+log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29, rewrite your logarithm of a product as the sum of the logarithms of each factor:
ln%285%29%2Bln%28x%5E3%29%2Bln%28y%5E2%29
Next we can use another property of logarithms, log%28a%2C+%28p%5Eq%29%29+=+q%2Alog%28a%2C+%28p%29%29, to move the exponents of the last two logarithms out in front of themselves:
ln%285%29%2B3%2Aln%28x%29%2B2%2Aln%28y%29
This, I guess, is what is meant as "expanded".