document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101145>Question 1101145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During its exponential growth phase, a colony of the bacterium E. color grew from 5067 cells to 39,491 cells in 60 minutes. How long will it take the colony of 5067 cells to grow to 200,000 cells? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715734 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  During its exponential growth phase, a colony of the bacterium E. color grew from 5067 cells to 39,491 cells in 60 minutes.<BR>\n" );
document.write( " How long will it take the colony of 5067 cells to grow to 200,000 cells?<BR>\n" );
document.write( "let k = the growth constant<BR>\n" );
document.write( "the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5067%5E%2860k%29+=+38491 ALIGN=MIDDLE  ALT=\"5067%5E%2860k%29+=+38491\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using nat logs<BR>\n" );
document.write( "ln(5067^60k) = ln(39491)<BR>\n" );
document.write( "60k = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2839491%29%2Fln%285067%29 ALIGN=MIDDLE  ALT=\"ln%2839491%29%2Fln%285067%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "60k = 1.2407<BR>\n" );
document.write( "k = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2407%2F60 ALIGN=MIDDLE  ALT=\"1.2407%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "k = .020678<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let m = no. of minutes to reach 200,000 cells <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5067%5E%28.020678m%29+=+200000 ALIGN=MIDDLE  ALT=\"5067%5E%28.020678m%29+=+200000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".020678m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28200000%29%2Fln%285067%29 ALIGN=MIDDLE  ALT=\"ln%28200000%29%2Fln%285067%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".020678m = 1.43087<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.43087%2F.020678 ALIGN=MIDDLE  ALT=\"1.43087%2F.020678\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = 69.2 minutes<BR>\n" );
document.write( ":<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );