document.write( "Question 634442: log (2x+1) base 2 - log (x-1) base 2 = 3 \n" ); document.write( "
Algebra.Com's Answer #399598 by stanbon(75887) ![]() You can put this solution on YOUR website! log (2x+1) base 2 - log (x-1) base 2 = 3 \n" ); document.write( "----- \n" ); document.write( "log2[(2x+1)(x-1)] = 3 \n" ); document.write( "--- \n" ); document.write( "(2x+1)(x-1) = 2^3 \n" ); document.write( "---- \n" ); document.write( "2x^2 -x -1 = 8 \n" ); document.write( "-------- \n" ); document.write( "2x^2 -x -9 = 0 \n" ); document.write( "---- \n" ); document.write( "x = [1 +- sqrt(1-4*2*-9)]/4 \n" ); document.write( "------ \n" ); document.write( "Positive solution: \n" ); document.write( "x = [1+ sqrt(73)]/4 \n" ); document.write( "---- \n" ); document.write( "x = 2.386... \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " \n" ); document.write( " |