document.write( "Question 891700: log8-logx-log(x-2)=-1 \n" ); document.write( "
Algebra.Com's Answer #539982 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! log8-logx-log(x-2)=-1 \n" ); document.write( "add -log8 to each side \n" ); document.write( " -logx - log(x-2) = -1 -log8 \n" ); document.write( "multiply each side by -1 \n" ); document.write( " logx + log(x-2) = 1 + log8 \n" ); document.write( "Assuming log means log base 10 \n" ); document.write( " log(x) + log(x-2) = log(10) + log(8) \n" ); document.write( "log(x(x-2)) = log(10*8) \n" ); document.write( "log(x(x-2)) = log(80) \n" ); document.write( " x(x-2) = 80 \n" ); document.write( " x^2 -2x = 80 \n" ); document.write( " x^2 -2x -80 = 0 \n" ); document.write( " (x-10)(x+8) = 0 \n" ); document.write( "so x = 10 \n" ); document.write( " \n" ); document.write( " |