document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068436>Question 1068436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a person got to know about a message, within 5 minutes he informed it to another 2 persons similarly each person who got to know about the message  informed it to another 2 persons. At 10.30 Am 729 people got to know about the message.at what time 1st person got to knew about the message?<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 #683661 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=683661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I read this right, every 5 minutes, the number<BR>\n" );
document.write( "of people who get the message doubles.<BR>\n" );
document.write( "At start time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > person<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+5+ ALIGN=MIDDLE  ALT=\"+t+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2%5E1+=+3+ ALIGN=MIDDLE  ALT=\"+1+%2B+2%5E1+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+10+ ALIGN=MIDDLE  ALT=\"+t+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2%5E1+%2B+2%5E2+=+7+ ALIGN=MIDDLE  ALT=\"+1+%2B+2%5E1+%2B+2%5E2+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+15+ ALIGN=MIDDLE  ALT=\"+t+%2B+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2%5E1+%2B+2%5E2+%2B+2%5E3+=+15+ ALIGN=MIDDLE  ALT=\"+1+%2B+2%5E1+%2B+2%5E2+%2B+2%5E3+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+20+ ALIGN=MIDDLE  ALT=\"+t+%2B+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2%5E1+%2B+2%5E2+%2B+2%5E3+%2B+2%5E4+=+31+ ALIGN=MIDDLE  ALT=\"+1+%2B+2%5E1+%2B+2%5E2+%2B+2%5E3+%2B+2%5E4+=+31+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It looks like, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of 5 minute<BR>\n" );
document.write( "intervals, then the number of people with the<BR>\n" );
document.write( "message is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%28+n%2B1+%29+-+1+ ALIGN=MIDDLE  ALT=\"+2%5E%28+n%2B1+%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "At 10:30 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+729+ ALIGN=MIDDLE  ALT=\"+729+\"   DISABLED_style= \"max-width:90%; height:auto;\" > people got the message<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%28+n+%2B+1+%29+-+1+=+729+ ALIGN=MIDDLE  ALT=\"+2%5E%28+n+%2B+1+%29+-+1+=+729+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%28+n%2B1+%29+=+730+ ALIGN=MIDDLE  ALT=\"+2%5E%28+n%2B1+%29+=+730+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+n%2B1+%29%2Alog%282%29++=+log%28+729+%29+ ALIGN=MIDDLE  ALT=\"+%28+n%2B1+%29%2Alog%282%29++=+log%28+729+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.30103%2A%28+n%2B1+%29+=+2.86273+ ALIGN=MIDDLE  ALT=\"+.30103%2A%28+n%2B1+%29+=+2.86273+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+1+=+2.86273%2F.30103+ ALIGN=MIDDLE  ALT=\"+n+%2B+1+=+2.86273%2F.30103+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+1+=+9.50977+ ALIGN=MIDDLE  ALT=\"+n+%2B+1+=+9.50977+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+8.50977+ ALIGN=MIDDLE  ALT=\"+n+=+8.50977+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8.50977%2A5+=+42.5489+ ALIGN=MIDDLE  ALT=\"+8.50977%2A5+=+42.5489+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes<BR>\n" );
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document.write( "10:30 minus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+ ALIGN=MIDDLE  ALT=\"+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min is 10:00<BR>\n" );
document.write( "That leaves <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12.5489+ ALIGN=MIDDLE  ALT=\"+12.5489+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+-+12.5489+=+47.4511+ ALIGN=MIDDLE  ALT=\"+60+-+12.5489+=+47.4511+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4511%2A60+=+27+ ALIGN=MIDDLE  ALT=\"+.4511%2A60+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The 1st person know the message at 9:47:27<BR>\n" );
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document.write( "DEFINITELY get another opinion on this.<BR>\n" );
document.write( "I'm pretty much winging it here\r<BR>\n" );
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