document.write( "Question 587178: please help me solve for x algebraically: \r
\n" ); document.write( "\n" ); document.write( "log subscript 2 x + log subscript 2 (x+2) -log sub script 2 (4-x)=2 \n" ); document.write( "

Algebra.Com's Answer #374017 by nerdybill(7384) $\"\"$ $\"About$

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please help me solve for x algebraically:
\n" ); document.write( "log subscript 2 x + log subscript 2 (x+2) -log sub script 2 (4-x)=2
\n" ); document.write( ".
\n" ); document.write( " $\"log%282%2Cx%29+%2B+log%282%2Cx%2B2%29+-+log%282%2C4-x%29+=+2\"$
\n" ); document.write( " $\"log%282%2Cx%28x%2B2%29%29+-+log%282%2C4-x%29+=+2\"$
\n" ); document.write( " $\"log%282%2Cx%28x%2B2%29%2F%284-x%29%29+=+2\"$
\n" ); document.write( " $\"x%28x%2B2%29%2F%284-x%29+=+2%5E2\"$
\n" ); document.write( " $\"x%28x%2B2%29%2F%284-x%29+=+4\"$
\n" ); document.write( " $\"x%28x%2B2%29+=+4%284-x%29\"$
\n" ); document.write( " $\"x%5E2%2B2x+=+16-4x\"$
\n" ); document.write( " $\"x%5E2%2B6x+=+16\"$
\n" ); document.write( " $\"x%5E2%2B6x-16+=+0\"$
\n" ); document.write( " $\"%28x%2B8%29%28x-2%29+=+0\"$
\n" ); document.write( "x = {-8, 2}
\n" ); document.write( "We throw out the negative solution (extraneous) leaving:
\n" ); document.write( "x = 2\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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