document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386568>Question 386568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A single microscopic organism divides into two organisms every 3 days.  Use the formula N(t) = No (2)^(t/3), where t is the time in days, N(t) is the number of organisms at t days, and No is the number of organisms at t=0.  Approximately how long would it take one organism to produce a population of about 10,000 organisms?<BR>\n" );
document.write( "a) 1,667 days<BR>\n" );
document.write( "b) 333 days<BR>\n" );
document.write( "c) 126 days<BR>\n" );
document.write( "d) 40 days </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #273282 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=273282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ N(t)\ =\ N_o\,\cdot\,2^{\frac{t}{3}}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We are dealing with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE N(t)\ =\ 10,000\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Unfortunately, you didn't bother to share the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE N_o\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On the other hand, given the answers you provided, it can only be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE N_o\ =\ 1\">.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, we have\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2^{\frac{t}{3}}\ =\ \frac{N(t)}{N_o}\ =\ 10,000\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Take the log of both sides (log base is immaterial to the solution -- I use ln)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ln\left(2^{\frac{t}{3}}\right)\ =\ \ln(10,000)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{t}{3}\ln\left(2\right)\ =\ \ln(10,000)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ t\ =\ \frac{3\,\cdot\,\ln(10,000)}{\ln\left(2\right)}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The rest is just calculator work.  Round to the nearest integer to get one of your answers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );