document.write( "Question 244998: given log(base a)x=4, log(base a)y=3, and log(base a)z=2 for constants x, y,z. find the value of the logarithm.\r
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Algebra.Com's Answer #853560 by MathTherapy(10699)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "given log(base a)x=4, log(base a)y=3, and log(base a)z=2 for constants x, y,z. find the value of the logarithm.\r\n" );
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document.write( "log(base a)((5th root of y^3 times x^6 times z^4)/(5th root of z^6 times x^2)\r\n" );
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document.write( "         \"log%28a%2C+%28%28root+%285%2C+y%5E3x%5E6z%5E4%29%29%2F%28root+%285%2C+z%5E6x%5E2%29%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "         \"log%28a%2C+%28root+%285%2C+%28y%5E3x%5E6z%5E4%29%2Fx%5E2z%5E6%29%29%29\" ---- Applying \"root+%28b%2C++c%29%2Froot+%28b%2C+d%29\" = \"root+%28b%2C+c%2Fd%29\"\r\n" );
document.write( "          \"log%28a%2C+%28%28y%5E3x%5E6z%5E4%29%2F%28x%5E2z%5E6%29%29%5E%281%2F5%29%29\" --- Applying \"root+%28b%2C+c%29\" = \"matrix%282%2C1%2C+%22+%22%2C+c%5E%281%2Fb%29%29\"\r\n" );
document.write( "        \r\n" );
document.write( "           \"log%28a%2C+%28%28y%5E3x%5E4%29%2Fz%5E2%29%5E%281%2F5%29%29\"\r\n" );
document.write( "           \"%281%2F5%29log%28a%2C+%28%28y%5E3x%5E4%29%2Fz%5E2%29%29\" ---- Applying \"log+%28b%2C+%28c%5Ed%29%29\" = \"d%2Alog+%28b%2C++%28c%29%29\"\r\n" );
document.write( "              \r\n" );
document.write( "            ----- Applying \"log+%28b%2C+%28c%5Ed%29%29\" = \"d%2Alog+%28b%2C+%28c%29%29\"\r\n" );
document.write( "           \"%281%2F5%29%283%283%29+%2B+4%284%29+-+2%282%29%29\" ---- Substituting \r\n" );
document.write( "          \"%281%2F5%29%289+%2B+16+-+4%29\"\r\n" );
document.write( "          \"highlight_green%28%281%2F5%29%2821%29+=+highlight%2821%2F5%29%29\"
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