document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=505457>Question 505457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x using natural logs:<BR>\n" );
document.write( "(e^2x)-(4e^x)-5=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339992 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=339992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x using natural logs:<BR>\n" );
document.write( "(e^2x)-(4e^x)-5=0<BR>\n" );
document.write( "**<BR>\n" );
document.write( "(e^2x)-(4e^x)-5=0<BR>\n" );
document.write( "let u=e^x<BR>\n" );
document.write( "u^2=e^2x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "u^2-4u-5=0<BR>\n" );
document.write( "(u-5)(u+1)=0<BR>\n" );
document.write( "u=5<BR>\n" );
document.write( "or<BR>\n" );
document.write( "u=-1 (reject, e^x>0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "e^x=5<BR>\n" );
document.write( "xlne=ln5<BR>\n" );
document.write( "x=1.6094 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );