document.write( "Question 201673: Use logarithmic properties to expand the expression, ln(e^3y/x^2), as much as possible. \n" ); document.write( "

Algebra.Com's Answer #152347 by Earlsdon(6294) $\"\"$ $\"About$

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\n" ); document.write( " $\"ln%28%28e%5E%283y%29%29%2F%28x%5E2%29%29\"$ Apply the \"quotient rule\" for logarithms. $\"Log%5Bb%5D%28M%2FN%29+=+Log%5Bb%5D%28M%29+-+Log%5Bb%5D%28N%29\"$ .
\n" ); document.write( " $\"ln%28e%5E%283y%29%29-ln%28x%5E2%29\"$ Now apply the \"power rule\" for logarithms. $\"Log%5Bb%5D%28M%5Ep%29+=+p%2ALog%5Bb%5D%28M%29\"$
\n" ); document.write( " $\"3y%2Aln%28e%29-2%2Aln%28x%29\"$ Substitute $\"ln%28e%29+=+1\"$
\n" ); document.write( " $\"highlight%283y-2%2Aln%28x%29%29\"$ \n" ); document.write( "

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