document.write( "Question 942780: Solve for x.
\n" ); document.write( " a.) log sub2(log sub4{log sub3[log sub2 x]}) = -1
\n" ); document.write( " b.) log sub2(x+4) + log sub2(x-2) - log sub2(x-6) = 0
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Algebra.Com's Answer #853651 by MathTherapy(10704)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "   a.) log sub2(log sub4{log sub3[log sub2 x]}) = -1\r\n" );
document.write( "   b.) log sub2(x+4) + log sub2(x-2) - log sub2(x-6) = 0\r\n" );
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document.write( "a) PAINSTAKINGLY LONG solution by the other person.\r\n" );
document.write( "   \"log+%282%2C+%28log+%284%2C+%28log+%283%2C+%28log+%282%2C+%28x%29%29%29%29%29%29%29%29+=+-+1\"\r\n" );
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document.write( "b) Other person's solutions are EXTRANEOUS, and therefore, UNACCEPTABLE!!!\r\n" );
document.write( "   b.) log sub2(x+4) + log sub2(x-2) - log sub2(x-6) = 0\r\n" );
document.write( "       \"log+%282%2C+%28x+%2B+4%29%29+%2B+log+%282%2C+%28x+-+2%29%29+-+log+%282%2C+%28x+-+6%29%29+=+0\"\r\n" );
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document.write( "        Smallest log: (x - 6), so x - 6 > 0. Therefore, x > 6.\r\n" );
document.write( "        We then have: \"log+%282%2C+%28x+%2B+4%29%29+%2B+log+%282%2C+%28x+-+2%29%29+-+log+%282%2C+%28x+-+6%29%29+=+0\", with x > 6.\r\n" );
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document.write( "The 2 solutions the other person got, x = - 2, and x = 1 are < 6, NOT > 6, obviously.\r\n" );
document.write( "This makes them EXTRANEOUS, thereby leading to this equation having NO SOLUTIONS!
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