document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018165>Question 1018165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A culture of 11 bacteria is started, and the number of bacteria will double every hour. In exactly how many hours, minutes, and seconds will there be 3,000,000,000 bacteria? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634314 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+ ALIGN=MIDDLE  ALT=\"+N+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = nuber of bacteria after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+11%2A2%5En+ ALIGN=MIDDLE  ALT=\"+N+=+11%2A2%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+3%2A10%5E9+ ALIGN=MIDDLE  ALT=\"+N+=+3%2A10%5E9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A10%5E9+=+11%2A2%5En+ ALIGN=MIDDLE  ALT=\"+3%2A10%5E9+=+11%2A2%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5En+=+%283%2F11%29%2A10%5E9+ ALIGN=MIDDLE  ALT=\"+2%5En+=+%283%2F11%29%2A10%5E9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the log base 10 of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%2Alog%282%29+=+log%283%2F11%29+%2B+9+ ALIGN=MIDDLE  ALT=\"+n%2Alog%282%29+=+log%283%2F11%29+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.30103n+=+log%28+.27273+%29+%2B+9+ ALIGN=MIDDLE  ALT=\"+.30103n+=+log%28+.27273+%29+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.30103n+=+-.56427+%2B+9+ ALIGN=MIDDLE  ALT=\"+.30103n+=+-.56427+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+1%2F.30103+%29%2A+8.43573+ ALIGN=MIDDLE  ALT=\"+n+=+%28+1%2F.30103+%29%2A+8.43573+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+3.32193%2A8.43573+ ALIGN=MIDDLE  ALT=\"+n+=+3.32193%2A8.43573+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+28.0229+ ALIGN=MIDDLE  ALT=\"+n+=+28.0229+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0229%2A60+=+1.374+ ALIGN=MIDDLE  ALT=\"+.0229%2A60+=+1.374+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.374%2A60+=+22.44+ ALIGN=MIDDLE  ALT=\"+.374%2A60+=+22.44+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 28 hrs 1 min 22 sec there will <BR>\n" );
document.write( "be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A10%5E9+ ALIGN=MIDDLE  ALT=\"+3%2A10%5E9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > bacteria<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N+=+11%2A2%5En+ ALIGN=MIDDLE  ALT=\"+N+=+11%2A2%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A10%5E9+=+11%2A2%5E28.0229+ ALIGN=MIDDLE  ALT=\"+3%2A10%5E9+=+11%2A2%5E28.0229+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A10%5E9+=+11%2A272730347.3+ ALIGN=MIDDLE  ALT=\"+3%2A10%5E9+=+11%2A272730347.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A10%5E9+=+3000033820+ ALIGN=MIDDLE  ALT=\"+3%2A10%5E9+=+3000033820+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "The % error is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33820+%2F+%283%2A10%5E9%29+ ALIGN=MIDDLE  ALT=\"+33820+%2F+%283%2A10%5E9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a little more than <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%5E4+%2F+10%5E9+=+10%5E%28-5%29+ ALIGN=MIDDLE  ALT=\"+10%5E4+%2F+10%5E9+=+10%5E%28-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%5E%28-5%29%2A100+=+10%5E-3+ ALIGN=MIDDLE  ALT=\"+10%5E%28-5%29%2A100+=+10%5E-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Slightly more than .001 % off<BR>\n" );
document.write( "I think it's close enough\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );