document.write( "Question 198679: Express as a sum, difference, or multiple of logarithms.\r
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Algebra.Com's Answer #149191 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"log%282%2C%28sqrt%28x%29%2Fa%5E2%29%29\"$ Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2C%28sqrt%28x%29%29%29-log%282%2C%28a%5E2%29%29\"$ Break up the log using the identity $\"log%28b%2C%28A%2FB%29%29=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%282%2C%28x%5E%281%2F2%29%29%29-log%282%2C%28a%5E2%29%29\"$ Convert to exponential notation\r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29log%282%2C%28x%29%29-2log%282%2C%28a%29%29\"$ Pull down the exponents using the identity $\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "So $\"log%282%2C%28sqrt%28x%29%2Fa%5E2%29%29=%281%2F2%29log%282%2C%28x%29%29-2log%282%2C%28a%29%29\"$ \n" ); document.write( "

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