document.write( "Question 240493: Rewrite as a sum and/or difference of multiples of logarithms:
\n" ); document.write( "ln((3x^2)/square root 2x+1))....my answer was 2ln(3x) + 1/2ln(2x+1) is this correct? \n" ); document.write( "

Algebra.Com's Answer #176205 by jsmallt9(3759) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have unbalanced parentheses in your problem so I have to check. Is this the original logarithm?
\n" ); document.write( " $\"ln%28%283x%5E2%29%2Fsqrt%282x%2B1%29%29\"$
\n" ); document.write( "If yes, keep reading. If not, then please repost your problem with properly balanced parentheses.

\n" ); document.write( "Your answer, $\"2ln%283x%29+%2B+%281%2F2%29ln%282x%2B1%29\"$ , is pretty close. One error is that it should be a difference instead of the sum because of the division in the original log:
\n" ); document.write( " $\"ln%28%283x%5E2%29%2Fsqrt%282x%2B1%29%29+=+2ln%283x%29+-+%281%2F2%29ln%282x%2B1%29\"$
\n" ); document.write( "This may meet the requirements of the problem. But it is possible to use the property, $\"log%28a%2C+%28p%2Aq%29%29+=+log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29\"$ , on the first log giving:
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\n" ); document.write( "I don't know if this last expression would be preferred over $\"2ln%283x%29+-+%281%2F2%29ln%282x%2B1%29\"$ .
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