document.write( "Question 408784: How do I change this to a quotient or product?
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Algebra.Com's Answer #287907 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
\"+log%284%2C%28x%2B3%29%29++%2B+log%284%2C%28x-3%29%29+\"
\n" ); document.write( "I think you have been asked to rewrite your expression as the log of a product or quotient. If so, there are a couple of properties fo logarithms for this:
  • \"log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29+=+log%28a%2C+%28p%2Aq%29%29\"
  • \"log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29+=+log%28a%2C+%28p%2Fq%29%29\"
As you can see, the first property applies if there is a \"+\" between the two logarithms and the second one applies if there is a \"-\".

\n" ); document.write( "These properties require
  • Two logarithms of the same base.
  • Two logarithms with coefficients of 1.

\n" ); document.write( "Your logarithms meet both requirements. Your logarithms have a \"+\" between them so the first property applies. So:
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