document.write( "Question 690646: ln(2x+1) + ln(x-3)- 2 lnx = 0 \n" ); document.write( "
Algebra.Com's Answer #426362 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ln(2x+1) + ln(x-3)- 2 lnx = 0 \n" ); document.write( "----- \n" ); document.write( "ln[(2x+1)(x-3)/x^2] = 0 \n" ); document.write( "---- \n" ); document.write( "(2x+1)(x-3)/x^2 = e^0 \n" ); document.write( "----- \n" ); document.write( "(2x+1)(x-3)/x^2 = 1 \n" ); document.write( "---- \n" ); document.write( "2x^2-5x-3 = x^2 \n" ); document.write( "---- \n" ); document.write( "x^2 -5x -3 = 0 \n" ); document.write( "----- \n" ); document.write( "x = [5 +- sqrt(25-4*-3)]/2 \n" ); document.write( "---- \n" ); document.write( "x = [5 +- sqrt(37)]/2 \n" ); document.write( "----- \n" ); document.write( "Positive solution: \n" ); document.write( "x = (5/2) + (1/2)sqrt(37) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |