document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040022>Question 1040022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the number of bacteria in a certain culture is given by the function b(t)=10000e^.04t\r<BR>\n" );
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document.write( "where t represents time in hours. how long will it take for the number of bacteria to reach 15000. round to nearest hundredth </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654803 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=654803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the number of bacteria in a certain culture is given by the function b(t)=10000e^.04t<BR>\n" );
document.write( "where t represents time in hours. how long will it take for the number of bacteria to reach 15000. round to nearest hundredth<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000%2Ae%5E%28.04t%29+=+15000 ALIGN=MIDDLE  ALT=\"10000%2Ae%5E%28.04t%29+=+15000\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "divide both sides by 10000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28.04t%29+=+15000%2F10000 ALIGN=MIDDLE  ALT=\"e%5E%28.04t%29+=+15000%2F10000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28.04t%29+=+1.5 ALIGN=MIDDLE  ALT=\"e%5E%28.04t%29+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using natural logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28.04t%29%29+=+ln%281.5%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28.04t%29%29+=+ln%281.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "log equiv of exponents<BR>\n" );
document.write( ".04t*ln(e) = ln(1.5)<BR>\n" );
document.write( "the nat log of e is 1. find the nat log of 1.5<BR>\n" );
document.write( ".04t = .405465<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.405465%2F.04 ALIGN=MIDDLE  ALT=\".405465%2F.04\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 10.34 hrs to reach 15,000<BR>\n" );
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