document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181923>Question 1181923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a small island there were 32768 deer and only 128 wolves. Statistics gathered revealed that the wolf population doubled every 3 years and the deer population halved every 6 years. How many years did it take for the wolf population to overtake the deer population? Create an algebraic solution to the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811885 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> wolves=w<BR>\n" );
document.write( "deer=d<BR>\n" );
document.write( "t=years<BR>\n" );
document.write( "w=wo*2^(t/3)<BR>\n" );
document.write( "=128*2^(t/3)<BR>\n" );
document.write( "--<BR>\n" );
document.write( "d=do(1/2)^(t/6)<BR>\n" );
document.write( "=32768*(2)^(-t/6)\r<BR>\n" );
document.write( "\n" );
document.write( "w=2^7*2^(t/3)=2^(7+(t/3))<BR>\n" );
document.write( "d=2^15*2^(-t/6)=2^(15-(t/6))<BR>\n" );
document.write( "-<BR>\n" );
document.write( "7+(t/3)=15-(t/6)<BR>\n" );
document.write( "t/2=8<BR>\n" );
document.write( "t=16 years<BR>\n" );
document.write( "---<BR>\n" );
document.write( "128*2^(16/3)=5160.63<BR>\n" );
document.write( "32768*0.5^(16/6)=5160.63 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );