document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062355>Question 1062355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An insect colony has a population that is modeled by p = 427e^t/18, where t is the number of days since scientists begin studying the colony. How many days will it take for the population to reach 700? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677241 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An insect colony has a population that is modeled by p = 427e^t/18, where t is the number of days since scientists begin studying the colony. How many days will it take for the population to reach 700?<BR>\n" );
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document.write( "I'll assume the exponent is t/18<BR>\n" );
document.write( "p = 427e^(t/18) = 700<BR>\n" );
document.write( "e^(t/18) = 700/427 = 100/61<BR>\n" );
document.write( "t/18 = ln(100/61)<BR>\n" );
document.write( "t = 18*ln(100/61) days<BR>\n" );
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