document.write( "Question 420445: log2 (x-3)+log2 x-log2 (x+2)=2 \n" ); document.write( "
Algebra.Com's Answer #293804 by nerdybill(7384)\"\" \"About 
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log2 (x-3)+log2 x-log2 (x+2)=2
\n" ); document.write( "log2 x(x-3) -log2 (x+2)=2
\n" ); document.write( "log2 x(x-3)/(x+2)=2
\n" ); document.write( "x(x-3)/(x+2)=2^2
\n" ); document.write( "x(x-3)/(x+2)=4
\n" ); document.write( "x(x-3)=4(x+2)
\n" ); document.write( "x^2-3x=4x+8
\n" ); document.write( "x^2-7x=8
\n" ); document.write( "x^2-7x-8=0
\n" ); document.write( "(x-8)(x+1) = 0
\n" ); document.write( "x = {8, -1}
\n" ); document.write( "throw out the -1 -- extraneous
\n" ); document.write( "leaving
\n" ); document.write( "x = 8\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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