document.write( "Question 598803: Use the properties of lagarithms eo expand: log[7]7x^2y^3/z.\r
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Algebra.Com's Answer #378712 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Expand:
\n" ); document.write( " $\"Log%5B7%5D%287x%5E2y%5E3%2Fz%29\"$ First, apply the \"quotient rule\" for logarithms: $\"Log%5Bb%5D%28M%2FN%29+=+Log%5Bb%5D%28M%29-Log%5Bb%5D%28N%29\"$ to get:
\n" ); document.write( " $\"Log%5B7%5D%287x%5E2y%5E3%29-Log%5B7%5D%28z%29\"$ Next, apply the \"product rule\" for logarithms: $\"Log%5Bb%5D%28M%2AN%29+=+Log%5Bb%5D%28M%29%2BLog%5Bb%5D%28N%29\"$ to get:
\n" ); document.write( " $\"Log%5B7%5D%287%29%2BLog%5B7%5D%28x%5E2%29%2BLog%5B7%5D%28y%5E3%29-Log%5B7%5D%28z%29\"$ Now apply the \"power rule\" for logarithms: $\"Log%5Bb%5D%28M%5En%29+=+nLog%5Bb%5D%28M%29\"$ to get:
\n" ); document.write( " $\"Log%5B7%5D%287%29%2B+2Log%5B7%5D%28x%29%2B3Log%5B7%5D%28y%29-Log%5B7%5D%28z%29\"$ Finally, substitute $\"Log%5B7%5D%287%29+=+1\"$
\n" ); document.write( " $\"1%2B2Log%5B7%5D%28x%29%2B3Log%5B7%5D%28y%29-Log%5B7%5D%28z%29\"$ \n" ); document.write( "

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