document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066037>Question 1066037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of the numbers in the set { 3^5000, 4^4000, 5^3000, 6^2000, 7^1000}, the largest is: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681200 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=681200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can take logs of these to compare<BR>\n" );
document.write( "5000 log 3<BR>\n" );
document.write( "4000 log 4<BR>\n" );
document.write( "3000 log 5<BR>\n" );
document.write( "2000 log 6<BR>\n" );
document.write( "1000 log 7<BR>\n" );
document.write( "A calculator could be used here, although log 3 is 0.4771, log 4 is 2 log 2 or 0.6026, log 6 is log 3+log 2 or 0.8084; log 5 + log2=log 10=1, so log 5 is 0.6987.<BR>\n" );
document.write( "log 3/log 4 is 5000 (0.4771)/4000(0.6026), and log 4 is larger by comparison.<BR>\n" );
document.write( "compare log 5/log 4 and have 3000(0.6987)/4000(.6026).<BR>\n" );
document.write( "log 4 is larger<BR>\n" );
document.write( "log 6 with log 4 is 2000 log 6/4000 log 4 or 1*0.8084/2*0.6026<BR>\n" );
document.write( " 4000 log 4 is the largest.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );