document.write( "Question 863300: How can I write the following expression as a single term that does not contain a logarithm : e^6-6ln(x)+ln(y)
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Algebra.Com's Answer #520377 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We will use the identities\r\n" );
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document.write( "(1)     \"a%5E%28b%2Bc%2Bd%29=a%5Eb%2Aa%5Ec%2Aa%5Ed\"\r\n" );
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document.write( "(2)     \"e%5Eln%28A%29=A\"\r\n" );
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document.write( "(3)     \"ln%28a%5Eb%29=b%2Aln%28a%29\"\r\n" );
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document.write( "\"e%5E%286-6%2Aln%28x%29%2Bln%28y%29%29\"\r\n" );
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document.write( "Use (1)\r\n" );
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document.write( "\"e%5E6%2Ae%5E%28-6%2Aln%28x%29%29%2Ae%5Eln%28y%29%29\"\r\n" );
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document.write( "Use (2) on the third factor:\r\n" );
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document.write( "\"e%5E6%2Ae%5E%28-6%2Aln%28x%29%29%2Ay%29\"\r\n" );
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document.write( "Use (3) on the exponent of the second factor:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Ce%5E6%2Ae%5E%28ln%28x%5E%28-6%29%29%29%2Ay%29\"\r\n" );
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document.write( "Use (2) on the second factor:\r\n" );
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document.write( "\"e%5E6%2Ax%5E%28-6%29%2Ay%29\"\r\n" );
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document.write( "That doesn't contain a logarithm, so it would do.\r\n" );
document.write( "Maybe you might want to go further and get rid of the\r\n" );
document.write( "negative exponent:\r\n" );
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document.write( "\"e%5E6%2Ay%2Fx%5E6%29\"\r\n" );
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document.write( "Edwin
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