document.write( "Question 455264: Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125) \n" ); document.write( "
Algebra.Com's Answer #853577 by MathTherapy(10719)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Solve the equation for x: 2log base 5 of x + log base 5 of 3 = log base 5(1/125)\r\n" );
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document.write( "The other person's answer, \"x+=+sqrt%2815%2F75%29\" is WRONG!!\r\n" );
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document.write( "\"2%2Alog+%285%2C+%28x%29%29+%2B+log+%285%2C+%283%29%29+=+log+%285%2C+%281%2F125%29%29\", with x > 0\r\n" );
document.write( "\"log+%285%2C+%28x%5E2%29%29+%2B+log+%285%2C+%283%29%29+=+log+%285%2C+%281%2F125%29%29\"\r\n" );
document.write( "       \"log+%285%2C+%283x%5E2%29%29+=+log+%285%2C+%281%2F125%29%29\"\r\n" );
document.write( "             \"3x%5E2+=+1%2F125\"\r\n" );
document.write( "              \"x%5E2+=+%281%2F125%29%2F3\"\r\n" );
document.write( "              \"x%5E2+=+%281%2F125%29+%2A+%281%2F3%29\"\r\n" );
document.write( "              \"x%5E2+=+1%2F375\"\r\n" );
document.write( "             \"highlight_green%28highlight%28highlight_green%28x+=+sqrt%281%2F375%29%29%29%29\"       OR      \"x+=+-sqrt%281%2F375%29\" <==== IGNORE\r\n" );
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document.write( "             \"highlight_green%28highlight%28highlight_green%28x+=+sqrt%281%2F375%29%29%29%29\" is an ACCEPTED solution, while \"highlight%28x+=+-sqrt%281%2F375%29%29\" is NOT, because the LATTER is NOT > 0,\r\n" );
document.write( "                         but the FORMER is (see constraint above).
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