document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397032>Question 397032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve for x in: 2lne^x+lne^3x=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281479 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to assume that the equation is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+ln+%28e%5Ex%29+%2B+ln+%28e%5E%283x%29%29+=+4 ALIGN=MIDDLE  ALT=\"2+ln+%28e%5Ex%29+%2B+ln+%28e%5E%283x%29%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note that ln and e are inverse functions, so they cancel out, leaving\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2x + 3x = 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 4/5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );