document.write( "Question 92376: e^(2x)-e^x=2, Solve for x \n" ); document.write( "
Algebra.Com's Answer #67196 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! e^(2x)-e^x-2=0, Solve for x\r \n" ); document.write( "\n" ); document.write( "----------- \n" ); document.write( "It's a quadratic; factor it:\r \n" ); document.write( "\n" ); document.write( "(e^x-2)(e^x+1)=0 \n" ); document.write( "e^x = 2 or e^x=-1 \n" ); document.write( "Take the natural log to get: \n" ); document.write( "x = ln2 or x=ln(-1) \n" ); document.write( "x = ln2 is the only solution as x=ln(-1) does not exist.\r \n" ); document.write( "\n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |