document.write( "Question 374907: i need help solving this equation $\"+log%282%2Cx%29%2Blog%282%2Cx-6%29=4+\"$ \n" ); document.write( "

Algebra.Com's Answer #266609 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+log%282%2Cx%29%2Blog%282%2Cx-6%29+=4+\"$
\n" ); document.write( " $\"+log%282%2Cx%28x-6%29%29+=4+\"$
\n" ); document.write( " $\"+x%28x-6%29+=+2%5E4+\"$
\n" ); document.write( " $\"+x%5E2-6x+=+16+\"$
\n" ); document.write( " $\"+x%5E2-6x-16+=+0+\"$
\n" ); document.write( " $\"+%28x-8%29%28x%2B2%29+=+0+\"$
\n" ); document.write( "x = {-2, 8}
\n" ); document.write( ".
\n" ); document.write( "But, x=-2 turns out to be an \"extraneous\" solution so throw it out leaving:
\n" ); document.write( "x = 8 \n" ); document.write( "

\n" );