document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507912>Question 507912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If e^ { 2 x } - 1 e^ { x } = + 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341052 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solving for x<BR>\n" );
document.write( "e^ { 2 x } - 1 e^ { x } = + 2<BR>\n" );
document.write( "e^2x-e^x-2=0<BR>\n" );
document.write( "let u=e^x<BR>\n" );
document.write( "u^2=e^2x<BR>\n" );
document.write( "u^2-u-2=0<BR>\n" );
document.write( "(u-2)(u+1)=0<BR>\n" );
document.write( "u=2<BR>\n" );
document.write( "or u=-1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "for u=-1<BR>\n" );
document.write( "e^x&#8800;-1<BR>\n" );
document.write( "reject<BR>\n" );
document.write( "..<BR>\n" );
document.write( "for u=2<BR>\n" );
document.write( "e^x=2<BR>\n" );
document.write( "take ln of both sides<BR>\n" );
document.write( "lne^x=ln2<BR>\n" );
document.write( "x=.6931 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );