document.write( "Question 1206873: If y^x = 5^y then dy/dx = ....
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Algebra.Com's Answer #844609 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
If y^x = 5^y then dy/dx = ...
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document.write( "\"y%5Ex\"\"%22%22=%22%22\"\"5%5Ey\"\r\n" );
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document.write( "Take natural logs of both sides:\r\n" );
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document.write( "\"ln%28y%5Ex%29\"\"%22%22=%22%22\"\"ln%285%5Ey%29\"\r\n" );
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document.write( "\"x%2Aln%28y%29\"\"%22%22=%22%22\"\"y%2Aln%285%29\"\r\n" );
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document.write( "\"x%28%28dy%2Fdx%29%2Fy%5E%22%22%29%2Bln%28y%29%2A1=ln%285%29%2A%28dy%2Fdx%29\"\r\n" );
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document.write( "Multiply through by y\r\n" );
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document.write( "\"x%28dy%2Fdx%29%2By%2Aln%28y%29\"\"%22%22=%22%22\"\"y%2Aln%285%29%2A%28dy%2Fdx%29\"\r\n" );
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document.write( "\"x%28dy%2Fdx%29-y%2Aln%285%29%2A%28dy%2Fdx%29\"\"%22%22=%22%22\"\"-y%2Aln%28y%29\"\r\n" );
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document.write( "\"%28dy%2Fdx%29%28x-y%2Aln%285%29%5E%22%22%29\"\"%22%22=%22%22\"\"-y%2Aln%28y%29\"\r\n" );
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document.write( "\"dy%2Fdx\"\"%22%22=%22%22\"\"%28-y%2Aln%28y%29%29%2F%28x-y%2Aln%285%29%29\"\r\n" );
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document.write( "Don't see that listed!!!\r\n" );
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document.write( "Edwin
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