document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280484>Question 280484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> make x the subject of the equation y=3e^2x<BR>\n" );
document.write( "write the natural logarithrm of x as ln (X) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203864 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=203864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> make x the subject of the equation y=3e^2x<BR>\n" );
document.write( "write the natural logarithrm of x as ln (X)<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "y=3e^2x<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "e^(2x) = y/3<BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "2x = ln(y/3)<BR>\n" );
document.write( "x = (1/2)ln(y/3)<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "x = ln[sqrt(y/3)]<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );