document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712352>Question 712352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I need help with this LOG problem. I've figured out a) but I'm not sure what to do for b). Your help is appreciated. Thank you.\r<BR>\n" );
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document.write( "On the planet Maximillian live Sprogs and Graks. Initially there were 1600 sprogs and 200 Graks. The population of Sprogs doubles every 14 years and that of Graks doubles every 7 years.\r<BR>\n" );
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document.write( "a) How many Graks were there after 3 1/2 years?<BR>\n" );
document.write( "Answer: 282.842712475 Graks\r<BR>\n" );
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document.write( "b) When are there as many Sprogs as Graks?<BR>\n" );
document.write( "____________ years later  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437890 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=437890\">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=+S+ ALIGN=MIDDLE  ALT=\"+S+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = population of Sprogs<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+G+ ALIGN=MIDDLE  ALT=\"+G+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = population of Groks<BR>\n" );
document.write( "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;\" > = number of years after initial count<BR>\n" );
document.write( "For Sprogs, the formula is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+=+1600%2A2%5E%28+n%2F14+%29+ ALIGN=MIDDLE  ALT=\"+S+=+1600%2A2%5E%28+n%2F14+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For Graks,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+G+=+200%2A2%5E%28+n%2F7+%29+ ALIGN=MIDDLE  ALT=\"+G+=+200%2A2%5E%28+n%2F7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.5+ ALIGN=MIDDLE  ALT=\"+3.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > years,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+G+=+200%2A2%5E%283.5%2F7%29+ ALIGN=MIDDLE  ALT=\"+G+=+200%2A2%5E%283.5%2F7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+G+=+200%2A2%5E.5+ ALIGN=MIDDLE  ALT=\"+G+=+200%2A2%5E.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+G+=+200%2A1.414+ ALIGN=MIDDLE  ALT=\"+G+=+200%2A1.414+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+G+=+282.8+ ALIGN=MIDDLE  ALT=\"+G+=+282.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( you can add the extra decimals )<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "When is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+=+G+ ALIGN=MIDDLE  ALT=\"+S+=+G+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1600%2A2%5E%28+n%2F14+%29+=+200%2A2%5E%28+n%2F7+%29+ ALIGN=MIDDLE  ALT=\"+1600%2A2%5E%28+n%2F14+%29+=+200%2A2%5E%28+n%2F7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2A2%5E%28+n%2F14+%29+=+2%5E%28+n%2F7+%29+ ALIGN=MIDDLE  ALT=\"+8%2A2%5E%28+n%2F14+%29+=+2%5E%28+n%2F7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E3%2A2%5E%28+n%2F14+%29+=+2%5E%28+n%2F7+%29+ ALIGN=MIDDLE  ALT=\"+2%5E3%2A2%5E%28+n%2F14+%29+=+2%5E%28+n%2F7+%29+\"   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%2F14+%2B+3+%29+=+2%5E%28+n%2F7+%29+ ALIGN=MIDDLE  ALT=\"+2%5E%28+n%2F14+%2B+3+%29+=+2%5E%28+n%2F7+%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%2F14+%2B+3+=+n%2F7+ ALIGN=MIDDLE  ALT=\"+n%2F14+%2B+3+=+n%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14+ ALIGN=MIDDLE  ALT=\"+14+\"   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+42+=+2n+ ALIGN=MIDDLE  ALT=\"+n+%2B+42+=+2n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+42+ ALIGN=MIDDLE  ALT=\"+n+=+42+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 42 years, their populations will be the same<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1600%2A2%5E%28+42%2F14+%29+=+200%2A2%5E%28+42%2F7+%29+ ALIGN=MIDDLE  ALT=\"+1600%2A2%5E%28+42%2F14+%29+=+200%2A2%5E%28+42%2F7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1600%2A2%5E3+=+200%2A2%5E6+ ALIGN=MIDDLE  ALT=\"+1600%2A2%5E3+=+200%2A2%5E6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1600%2A8+=+200%2A64+ ALIGN=MIDDLE  ALT=\"+1600%2A8+=+200%2A64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12800+=+12800+ ALIGN=MIDDLE  ALT=\"+12800+=+12800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );