document.write( "Question 1209836: Find x if \log_2 x^2 + \log_{1/2} x + 3 \log_4 x = 5.
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Algebra.Com's Answer #850781 by ikleyn(52781)\"\" \"About 
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document.write( "      Step by step\r\n" );
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document.write( "The domain to this equation is the set of all real positive numbers,\r\n" );
document.write( "so we work in this domain.\r\n" );
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document.write( "    \"log%282%2Cx%5E2%29\" = \"2%2Alog%282%2Cx%29%29\".\r\n" );
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document.write( "    \"log%281%2F2%2Cx%29\" = \"-log%282%2Cx%29\".\r\n" );
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document.write( "    \"3%2Alog%284%2Cx%29\" = \"%283%2F2%29%2Alog%282%2Cx%29\".\r\n" );
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document.write( "Therefore, the whole given equation is equivalent to this one\r\n" );
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document.write( "    \"2%2Alog%282%2Cx%29%29\" - \"log%282%2Cx%29\" + \"%283%2F2%29%2Alog%282%2Cx%29\" = 5.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    \"%285%2F2%29%2Alog%282%2Cx%29\" = 5,\r\n" );
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document.write( "    \"log%282%2Cx%29\" = \"5%2F%28%285%2F2%29%29\" = 2\r\n" );
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document.write( "     x = \"2%5E2\" = 4.\r\n" );
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document.write( "ANSWER.  x = 4.\r\n" );
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