document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63903>Question 63903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x: e^2x + 4e^-2x = 4.\r<BR>\n" );
document.write( "\n" );
document.write( "X=\r<BR>\n" );
document.write( "\n" );
document.write( "a. (1/2) ln 2<BR>\n" );
document.write( "b. (1/3) ln 2<BR>\n" );
document.write( "c. (1/3) ln 3<BR>\n" );
document.write( "d. (1/2) ln 3<BR>\n" );
document.write( "e. ln 2<BR>\n" );
document.write( "f. ln 3<BR>\n" );
document.write( "g. none of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44547 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x: e^2x + 4e^-2x = 4. <BR>\n" );
document.write( "LET E^2X =Y<BR>\n" );
document.write( "THEN <BR>\n" );
document.write( "E^(-2X)=1/E^2X=1/Y...HENCE<BR>\n" );
document.write( "Y+ 4/Y =4<BR>\n" );
document.write( "SINCE Y IS NOT ZERO...E^X CAN NOT BE ZERO FOR ANY FINITE X <BR>\n" );
document.write( "Y^2+4=4Y <BR>\n" );
document.write( "Y^2-4Y+4=0<BR>\n" );
document.write( "(Y-2)^2=0<BR>\n" );
document.write( "Y=2<BR>\n" );
document.write( "E^X=2<BR>\n" );
document.write( "X=LN(2)<BR>\n" );
document.write( "E IS THE ANSWER\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "X= <BR>\n" );
document.write( "a. (1/2) ln 2<BR>\n" );
document.write( "b. (1/3) ln 2<BR>\n" );
document.write( "c. (1/3) ln 3<BR>\n" );
document.write( "d. (1/2) ln 3<BR>\n" );
document.write( "e. ln 2<BR>\n" );
document.write( "f. ln 3<BR>\n" );
document.write( "g. none of these<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );