document.write( "Question 546006: log2(x + 2) + log2(x - 4) = 4 \n" ); document.write( "
Algebra.Com's Answer #355844 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! solve for x \n" ); document.write( "log2(x + 2) + log2(x - 4) = 4 \n" ); document.write( "log2[(x+2)(x-4)]=4 \n" ); document.write( "change to exponential form: Base(2) raised to log of number(4)=number[(x+2)(x-4)] \n" ); document.write( ".. \n" ); document.write( "2^4=(x+2)(x-4) \n" ); document.write( "16=x^2-2x-8 \n" ); document.write( "x^2-2x-24=0 \n" ); document.write( "(x-6)(x+4)=0 \n" ); document.write( "x=6 \n" ); document.write( "or \n" ); document.write( "x=-4 (reject, (x+2)>0) \n" ); document.write( " |