document.write( "Question 985654: Find the real values of x which satisfy the equation.
\n" ); document.write( " Log[base3]x+log[basex]3=10/3 \n" ); document.write( "
Algebra.Com's Answer #606501 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Log[base3]x+log[basex]3=10/3
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document.write( "\"log%283%2C%28x%29%29%2Blog%28x%2C3%29\"\"%22%22=%22%22\"\"10%2F3\"\r\n" );
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document.write( "Use the base-swapping formula \"log%28A%2C%28B%29%29=1%2Flog%28B%2C%28A%29%29\"\r\n" );
document.write( "on the second term on the left:\r\n" );
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document.write( "\"log%283%2C%28x%29%29%2B1%2Flog%283%2C%28x%29%29\"\"%22%22=%22%22\"\"10%2F3\"\r\n" );
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document.write( "Let u = log3(x)\r\n" );
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document.write( "\"u%2B1%2Fu\"\"%22%22=%22%22\"\"10%2F3\"\r\n" );
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document.write( "Multiply through by LCD = 3u\r\n" );
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document.write( "      3uČ + 3 = 10u\r\n" );
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document.write( "3uČ - 10u + 3 = 0\r\n" );
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document.write( "  (u-3)(3u-1) = 0\r\n" );
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document.write( "u-3=0;  3u-1=0\r\n" );
document.write( "  u=3;    3u=1\r\n" );
document.write( "           u=\"1%2F3\"\r\n" );
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document.write( "Substitute u = log3(x)\r\n" );
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document.write( "log3(x) = 3;   log3(x) = \"1%2F3\"\r\n" );
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document.write( "  x = 33       x = \"matrix%282%2C1%2C%22%22%2C3%5E%281%2F3%29%29\"\r\n" );
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document.write( "  x = 27        x = \"root%283%2C3%29\"\r\n" );
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document.write( "Edwin
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