document.write( "Question 1089990: Rewrite $\"+%281%2F2%29+ln+%28x-3%29+%2B+ln+%28x%2B2%29+-+6+%2A+ln+%28x%29+\"$ as a single logarithmic expression. \n" ); document.write( "

Algebra.Com's Answer #704398 by EMStelley(208) $\"\"$ $\"About$

You can put this solution on YOUR website!
The first step here would be to remember that a constant multiplied by a logarithm can be moved to the exponent of the argument of the logarithm. So
\n" ); document.write( " $\"%281%2F2%29ln%28x-3%29+=+ln%28x-3%29%5E%281%2F2%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"6lnx+=+ln%28x%5E6%29\"$
\n" ); document.write( "Next, we remember that two logarithms added to each other can be combined into one using multiplication.
\n" ); document.write( " $\"ln%28%28x-3%29%5E%281%2F2%29%29%28x%2B2%29\"$
\n" ); document.write( "Lastly, two logarithms subtracted from each other can be combined into one using division.
\n" ); document.write( " $\"ln%28%28%28x-3%29%5E%281%2F2%29%29%28x%2B2%29%2F%28x%5E6%29%29\"$ \n" ); document.write( "

\n" );