document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515626>Question 515626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)solve exactly for x when 12e^(0.03x)=15e^(0.01x)\r<BR>\n" );
document.write( "\n" );
document.write( "2)solve exactly for x when 4^(ln(3x+2))=13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344704 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=344704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)solve exactly for x when 12e^(0.03x)=15e^(0.01x) <BR>\n" );
document.write( "2)solve exactly for x when 4^(ln(3x+2))=13<BR>\n" );
document.write( "**<BR>\n" );
document.write( "1) 12e^(0.03x)=15e^(0.01x)<BR>\n" );
document.write( "ln12+.03x*lne=ln15+.01x*lne<BR>\n" );
document.write( "lne=1<BR>\n" );
document.write( "ln12+.03x=ln15+.01x<BR>\n" );
document.write( ".02x=ln15-ln12<BR>\n" );
document.write( "x=(ln15-ln12)/.02=11.1572<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2) 4^(ln(3x+2))=13<BR>\n" );
document.write( "ln(3x+2)*ln4=ln13<BR>\n" );
document.write( "ln(3x+2)=ln13/ln4=1.8502<BR>\n" );
document.write( "Convert to exponential form: base(e) raised to log of number(1.8502)=number(3x+2)<BR>\n" );
document.write( "e^1.8502=3x+2<BR>\n" );
document.write( "6.3611=3x+2<BR>\n" );
document.write( "3x=4.3611<BR>\n" );
document.write( "x=4.3611/3=1.4537 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );