document.write( "Question 117193: Express as a single log of a single argument:
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Algebra.Com's Answer #85241 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3log%285%2C%2812%29%29-log%285%2C%2836%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%285%2C%2812%29%5E3%29-log%285%2C%2836%29%29\"$ Rewrite each log using the identity $\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%285%2C%28%2812%29%5E3%2F%2836%29%29%29\"$ Combine the logs using the identity $\"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"log%285%2C%281728%2F%2836%29%29%29\"$ Raise 12 to the 3rd power to get 1,728\r
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\n" ); document.write( "\n" ); document.write( " $\"log%285%2C%2848%29%29\"$ Divide
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