document.write( "Question 153505: use the properties of log. to evalueate the expression log.a cube root a^2 \n" ); document.write( "

Algebra.Com's Answer #112995 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Evaluate:
\n" ); document.write( " $\"log%28%28a%29%2Aroot%283%2Ca%5E2%29%29\"$ Rewrite this as:
\n" ); document.write( " $\"log%28%28%28a%29%2Aa%5E%282%2F3%29%29%29\"$ Apply the product rule for logs: $\"log%28M%2AN%29+=+log%28M%29%2Blog%28N%29\"$
\n" ); document.write( " $\"log%28%28a%29%29%2Blog%28a%5E%282%2F3%29%29\"$ Apply the power rule for logs: $\"log%28%28M%29%5En%29+=+n%2Alog%28%28M%29%29\"$
\n" ); document.write( " $\"log%28%28a%29%29%2B%282%2F3%29log%28%28a%29%29\"$ Perform the addition.
\n" ); document.write( " $\"%285%2F3%29%2Alog%28%28a%29%29+=+log%28%28a%5E%285%2F3%29%29%29\"$ \n" ); document.write( "

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