document.write( "Question 770321: Given 2^x=3^y=5^z=900^w
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Algebra.Com's Answer #469478 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Given 2^x=3^y=5^z=900^w
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\n" ); document.write( "xyz=2w(xy+yz+xz)
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document.write( "Suppose that \r\n" );
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document.write( "2x = 3y = 5z = 900w = A\r\n" );
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document.write( "Then,\r\n" );
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document.write( "ln(2x) = ln(3y) = ln(5z) = ln(900w) = ln(A)\r\n" );
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document.write( "x·ln(2) = y·ln(3) = z·ln(5) = w·ln(900) = ln(A)\r\n" );
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document.write( "\"x=ln%28A%29%2Fln%282%29\", \"y=ln%28A%29%2Fln%283%29\", \"z=ln%28A%29%2Fln%285%29\", \"w=ln%28A%29%2Fln%28900%29\"\r\n" );
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document.write( "*** xyz = \"ln%28A%29%2Fln%282%29\"\"%22%22%2A%22%22\"\"ln%28A%29%2Fln%283%29\"\"%22%22%2A%22%22\"\"ln%28A%29%2Fln%285%29\" = \"%28ln%28A%29%29%5E3%2F%28ln%282%29ln%283%29ln%285%29%29\"***       \r\n" );
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document.write( "xy = \"%28ln%28A%29%2Fln%282%29%29\"\"%22%22%2A%22%22\"\"%28ln%28A%29%2Fln%283%29%29\" = \"%28ln%28A%29%29%5E2%2F%28ln%282%29ln%283%29%29\"\r\n" );
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document.write( "yz = \"%28ln%28A%29%2Fln%283%29%29\"\"%22%22%2A%22%22\"\"%28ln%28A%29%2Fln%285%29%29\" = \"%28ln%28A%29%29%5E2%2F%28ln%283%29ln%285%29%29\"\r\n" );
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document.write( "xz = \"%28ln%28A%29%2Fln%282%29%29\"\"%22%22%2A%22%22\"\"%28ln%28A%29%2Fln%285%29%29\" = \"%28ln%28A%29%29%5E2%2F%28ln%282%29ln%285%29%29\"  \r\n" );
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document.write( "xy + yz + xz = \"%28ln%28A%29%29%5E2%2F%28ln%282%29ln%283%29%29\"\"%22%22%2B%22%22\"\"%28ln%28A%29%29%5E2%2F%28ln%282%29ln%283%29%29\"\"%22%22%2B%22%22\"\"%28ln%28A%29%29%5E2%2F%28ln%282%29ln%283%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "          \"%22%22=%22%22\"\r\n" );
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document.write( "\"w\"\"%22%22=%22%22\"\"ln%28A%29%2Fln%28900%29\"\"%22%22=%22%22\"\"ln%28A%29%2Fln%282%5E2%2A3%5E2%2A5%5E2%29\"\"%22%22=%22%22\"\"ln%28A%29%2F%28ln%282%5E2%29%2Bln%283%5E2%29%2Bln%285%5E2%29%29\"\"%22%22=%22%22\"\"ln%28A%29%2F%282ln%282%29%2B2ln%283%29%2B2ln%285%29%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "          \"ln%28A%29%2F%282%28ln%282%29%2Bln%283%29%2Bln%285%29%29%29\"\r\n" );
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document.write( "So 2w = \"2ln%28A%29%2F%282%28ln%282%29%2Bln%283%29%2Bln%285%29%29%29\"\"%22%22=%22%22\"\"cross%282%29ln%28A%29%2F%28cross%282%29%28ln%282%29%2Bln%283%29%2Bln%285%29%29%29\"\"%22%22=%22%22\"\"ln%28A%29%2F%28ln%282%29%2Bln%283%29%2Bln%285%29%29\"   \r\n" );
document.write( "    \r\n" );
document.write( "2w(xy+yz+xz)\"%22%22=%22%22\"\"ln%28A%29%2F%28ln%282%29%2Bln%283%29%2Bln%285%29%29\"\"%22%22%2A%22%22\"\"%22%22=%22%22\"\r\n" );
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document.write( "          \"ln%28A%29%2F%28cross%28ln%282%29%2Bln%283%29%2Bln%285%29%29%29\"\"%22%22%2A%22%22\"\"%22%22=%22%22\"\"%28ln%28A%29%29%5E3%2F%28ln%282%29ln%283%29ln%285%29%29\"\r\n" );
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document.write( "And that's what xyz was shown equal to above, marked ***      \r\n" );
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document.write( "Edwin
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