document.write( "Question 749174: ln x + ln (x+1-e) = 1 \n" ); document.write( "
Algebra.Com's Answer #455811 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! ln x + ln (x+1-e) = 1 \n" ); document.write( "----- \n" ); document.write( "ln[x(x+1-e)] = 1 \n" ); document.write( "---- \n" ); document.write( "x^2+x-ex = e \n" ); document.write( "----- \n" ); document.write( "x^2 + x(1-e) - e = 0 \n" ); document.write( "-------- \n" ); document.write( "x = [e-1 +- sqrt[(1-e)^2 - 4(-e)]/2 \n" ); document.write( "-------- \n" ); document.write( "x = [e-1 +- sqrt[e^2-2e+1 + 4e]/2 \n" ); document.write( "-------- \n" ); document.write( "x = [e-1 +- sqrt[e^2+2e+1]/2 \n" ); document.write( "-------- \n" ); document.write( "x = [e-1 +- e+1]/2 \n" ); document.write( "--- \n" ); document.write( "x = 2e/2 = e or x = -2/2 = -1 \n" ); document.write( "---- \n" ); document.write( "x cannot be negative \n" ); document.write( "Only Solution: x = e \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |