document.write( "Question 974318: If \"x%5E2+%2B+y%5E2+=+7xy\" then \"+log+%28%28x+%2B+y%29%29+%2B+log+%281%2F3%29+\" = ? \n" ); document.write( "
Algebra.Com's Answer #853698 by MathTherapy(10704)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "If \"x%5E2+%2B+y%5E2+=+7xy\" then \"+log+%28%28x+%2B+y%29%29+%2B+log+%281%2F3%29+\"  = ?\r\n" );
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document.write( "I don't know what convoluted stuff that other person who responded wrote, but all that MUMBO JUMBO\r\n" );
document.write( "seems, in my opinion, to have absolutley nothing to do with the expression to be evaluated!\r\n" );
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document.write( "If \"x%5E2+%2B+y%5E2+=+7xy\" then \"log+%28%28x+%2B+y%29%29+%2B+log+%281%2F3%29\"  = ?\r\n" );
document.write( "   \"%28x+%2B+y%29%5E2+=+x%5E2+%2B+2xy+%2B+y%5E2\"\r\n" );
document.write( "   \"%28x+%2B+y%29%5E2+=+x%5E2+%2B+y%5E2+%2B+2xy\"\r\n" );
document.write( "   \"%28x+%2B+y%29%5E2+=+7xy+%2B+2xy\" ---- Substituting 7xy for \"x%5E2+%2B+y%5E2\"\r\n" );
document.write( "   \"%28x+%2B+y%29%5E2+=+9xy\"\r\n" );
document.write( "\"sqrt%28%28x+%2B+y%29%5E2%29+=+0%2B-+sqrt%289xy%29\" ----- Taking the square root of each side\r\n" );
document.write( "     \"x+%2B+y+=+0+%2B-+3sqrt%28xy%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"highlight%28log+%28%28x+%2B+y%29%29+%2B+log+%281%2F3%29%29\" = ?\r\n" );
document.write( "\"log+%28%283sqrt%28xy%29%29%29+%2B+log+%28%281%2F3%29%29\" --- Substituting ONLY the POSITIVE value (\"3sqrt%28xy%29\"), for x + y\r\n" );
document.write( "\"log+%28%28%283sqrt%28xy%29%29%281%2F3%29%29%29\" ----- Applying \"log+%28b%2C+%28c%29%29+%2B+log+%28b%2C+%28d%29%29\" = \"log+%28b%2C+%28c%2Ad%29%29\"\r\n" );
document.write( "\"log+%28%28cross%283%29sqrt%28xy%29%29%281%2Fcross%283%29%29%29\" = \"highlight%28log+%28sqrt%28xy%29%29%29\", or \"highlight%28log+%28%28xy%29%5E%281%2F2%29%29%29\"
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