document.write( "Question 396918: how to expand this problem: ln 5x^3y^2 \n" ); document.write( "

Algebra.Com's Answer #281541 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"ln%285x%5E3y%5E2%29\"$
\n" ); document.write( "\"Expand\" is a vague term. I am guessing at its meaning.

\n" ); document.write( "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:
\n" ); document.write( " $\"ln%285%29%2Bln%28x%5E3%29%2Bln%28y%5E2%29\"$
\n" ); document.write( "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:
\n" ); document.write( " $\"ln%285%29%2B3%2Aln%28x%29%2B2%2Aln%28y%29\"$
\n" ); document.write( "This, I guess, is what is meant as \"expanded\". \n" ); document.write( "

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