document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60480>Question 60480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of bacteria present in a culture after t minutes is given as <BR>\n" );
document.write( "B= 100e^kt. IF there are 5287 bacteria present after 13 minutes, find k. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41630 by </B><A HREF=/tutors/aboutme.mpl?userid=smik><B>smik(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=smik><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=41630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good question. Great question. Let's go through it.<BR>\n" );
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document.write( "So, we start of with the equation B=100e^kt, and the fact that B=5287 when t=13. With this in mind we can easily solve for k as shown below:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5287+=+100e%5E%2813k%29 ALIGN=MIDDLE  ALT=\"5287+=+100e%5E%2813k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (divide both sides by 100)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52.87+=+e%5E%2813k%29 ALIGN=MIDDLE  ALT=\"52.87+=+e%5E%2813k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (natural log of both sides, which cancels out the e)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2852.87%29+=+13k ALIGN=MIDDLE  ALT=\"ln%2852.87%29+=+13k\"   DISABLED_style= \"max-width:90%; height:auto;\" > (divide both sides by 13)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2852.87%29%2F13+=+k ALIGN=MIDDLE  ALT=\"ln%2852.87%29%2F13+=+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+0.305 ALIGN=MIDDLE  ALT=\"k+=+0.305\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to three significant figures)<BR>\n" );
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document.write( "Hope all that helps. </SPAN>\n" );
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