document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403444>Question 403444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use natural logarithms to solve the equation. Round to the nearest thousandth<BR>\n" );
document.write( "6e^4x-2=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285274 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming you mean (correct me if I'm wrong):<BR>\n" );
document.write( "6e^(4x)-2=3<BR>\n" );
document.write( "6e^(4x)=5<BR>\n" );
document.write( "e^(4x)=5/6<BR>\n" );
document.write( "4x=ln(5/6)<BR>\n" );
document.write( "x=ln(5/6)/4<BR>\n" );
document.write( "x = -0.046\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );