document.write( "Question 254433: log(4-x)=log(x+8)+log(2x+13) \n" ); document.write( "
Algebra.Com's Answer #186753 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! The given equation is \n" ); document.write( " log(4-x)=log(x+8)+log(2x+13) \n" ); document.write( " log(4-x) = log(x+8)(2x+13) \n" ); document.write( "Taking anti-log, \n" ); document.write( " (4-x) = (x+8)(2x+13) \n" ); document.write( " 4-x = 2x^2+13x+16x+104 \n" ); document.write( " 0 = 2x^2+29x+104+x-4 \n" ); document.write( " 0 = 2x^2+30x+100 \n" ); document.write( "Dividing by 2,we get \n" ); document.write( " x^2+15x+50 = 0 \n" ); document.write( " (x+5)(x+10) = 0 \n" ); document.write( " x = -5 or -10 \n" ); document.write( " \n" ); document.write( " |