document.write( "Question 382188: Use the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.\r
\n" ); document.write( "\n" ); document.write( "9^(5log[9](x)) \n" ); document.write( "

Algebra.Com's Answer #270964 by jsmallt9(3758) $\"\"$ $\"About$

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$\"9%5E%285log%289%2C+%28x%29%29%29\"$
\n" ); document.write( "On the exponent, we can use the property of logarithms, $\"q%2Alog%28a%2C+%28p%29%29+=+log%28a%2C+%28p%5Eq%29%29\"$ to move the 5 into the argument as an exponent:
\n" ); document.write( " $\"9%5E%28log%289%2C%28x%5E5%29%29%29\"$
\n" ); document.write( "Since $\"log%289%2C%28x%5E5%29%29\"$ represents the exponent for 9 that results in $\"x%5E5\"$ and since $\"log%289%2C%28x%5E5%29%29\"$ is the exponent on a 9:
\n" ); document.write( " $\"9%5E%28log%289%2C%28x%5E5%29%29%29+=+x%5E5\"$ \n" ); document.write( "

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