document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65737>Question 65737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi.  \r<BR>\n" );
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document.write( "\"The population P of a certain culture is expected tp be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established.  I need to find the value of r if the population is expected to reach 200 in 3 days.\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46452 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=46452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The population P of a certain culture is expected tp be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established.  I need to find the value of r if the population is expected to reach 200 in 3 days.\"<BR>\n" );
document.write( "P=200<BR>\n" );
document.write( "t=3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200=100e%5E%28r%2A3%29 ALIGN=MIDDLE  ALT=\"200=100e%5E%28r%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F100=100e%5E%283r%29%2F100 ALIGN=MIDDLE  ALT=\"200%2F100=100e%5E%283r%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=e%5E%283r%29 ALIGN=MIDDLE  ALT=\"2=e%5E%283r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Take the natural log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=ln%28e%5E%283r%29%29 ALIGN=MIDDLE  ALT=\"ln%282%29=ln%28e%5E%283r%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  remember: ln(a^m)=mln(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=3rln%28e%29 ALIGN=MIDDLE  ALT=\"ln%282%29=3rln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=3r%281%29 ALIGN=MIDDLE  ALT=\"ln%282%29=3r%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > remember: ln(e)=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=3r ALIGN=MIDDLE  ALT=\"ln%282%29=3r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29%2F3=3r%2F3 ALIGN=MIDDLE  ALT=\"ln%282%29%2F3=3r%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=ln%282%29%2F3 ALIGN=MIDDLE  ALT=\"r=ln%282%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=.6931471806%2F3 ALIGN=MIDDLE  ALT=\"r=.6931471806%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=.2310490602 ALIGN=MIDDLE  ALT=\"r=.2310490602\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Round off to whatever you are asked for.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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