document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850169>Question 850169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bacteria colony begins with 6 individuals and doubles in size every hour. Write down a recurence for a in n terms, the population at the beginning of hour n, and solve it. How many hours elapse until the population exceeds one million?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512063 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=512063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> EDITED: No need for any Change of Base.\r<BR>\n" );
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document.write( "n hours_____________Count<BR>\n" );
document.write( "0___________________6<BR>\n" );
document.write( "1___________________6*2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2___________________6%2A2%2A2=6%2A2%5E2 ALIGN=MIDDLE  ALT=\"2___________________6%2A2%2A2=6%2A2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3___________________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A2%2A2%2A2=6%2A2%5E3 ALIGN=MIDDLE  ALT=\"6%2A2%2A2%2A2=6%2A2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "n___________________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A2%5En ALIGN=MIDDLE  ALT=\"6%2A2%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Relation:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=6%2A2%5En%29 ALIGN=MIDDLE  ALT=\"highlight%28a=6%2A2%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, n is the count of finished hours; a is the count of bacteria.\r<BR>\n" );
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document.write( "If a=1000000, what is n?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A2%5En=1000000 ALIGN=MIDDLE  ALT=\"6%2A2%5En=1000000\"   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=1000000%2F6=166666%262%2F3 ALIGN=MIDDLE  ALT=\"2%5En=1000000%2F6=166666%262%2F3\"   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=166666%262%2F3 ALIGN=MIDDLE  ALT=\"2%5En=166666%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C2%5En%29=log%2810%2C+166666%262%2F3%29 ALIGN=MIDDLE  ALT=\"log%2810%2C2%5En%29=log%2810%2C+166666%262%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Alog%2810%2C2%29=log%2810%2C+166666%262%2F3%29 ALIGN=MIDDLE  ALT=\"n%2Alog%2810%2C2%29=log%2810%2C+166666%262%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=log%2810%2C166666%262%2F3%29%2Flog%2810%2C2%29 ALIGN=MIDDLE  ALT=\"n=log%2810%2C166666%262%2F3%29%2Flog%2810%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=5.2218%2F%280.30103%29 ALIGN=MIDDLE  ALT=\"n=5.2218%2F%280.30103%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=17.34%29 ALIGN=MIDDLE  ALT=\"highlight%28n=17.34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours<BR>\n" );
document.write( "17 hours 21 minutes </SPAN>\n" );
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