document.write( "Question 1010668: what is the solution set for log of 5(x-7)+log of 5 (x-4)-log of 5x=1 \n" ); document.write( "
Algebra.Com's Answer #626121 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! what is the solution set for \n" ); document.write( "log5(x-7)+log5(x-4)-log5(x) = 1 \n" ); document.write( "----- \n" ); document.write( "log5[(x-7)(x-4)/x] = 1 \n" ); document.write( "---- \n" ); document.write( "(x-7)(x-4)/x = 5 \n" ); document.write( "-- \n" ); document.write( "x^2 - 11x + 28 = 5x \n" ); document.write( "----- \n" ); document.write( "x^2 - 16x + 28 = 0 \n" ); document.write( "--- \n" ); document.write( "(x-2)(x-14) = 0 \n" ); document.write( "---- \n" ); document.write( "Acceptable solution: \n" ); document.write( "x = 14 \n" ); document.write( "-------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------- \n" ); document.write( " |