document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203303>Question 1203303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I was wondering if I could get some help on this problem?<BR>\n" );
document.write( "If f(n) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28n%29%2Flog%282006n-n%5E2%29 ALIGN=MIDDLE  ALT=\"log%28n%29%2Flog%282006n-n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find f(1) + f(2) + f(3)+...+ f(2005)<BR>\n" );
document.write( "All I can figure out is the split the logarithm on the bottom into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28n%29+%2B+log%282006+-+n%29 ALIGN=MIDDLE  ALT=\"log%28n%29+%2B+log%282006+-+n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838751 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "This is too nice a problem for us to solve it for you.  You should have the pleasure of finding your way to the answer yourself.  I will just get you started.<br><BR>\n" );
document.write( "If what I show you doesn't yet help you reach the final answer, then post a \"thank you\" saying you need more help.<br><BR>\n" );
document.write( "And of course if the little I show you below allows you to finish the problem yourself, I would very much like to see a \"thank you\" note from you saying so.<br><BR>\n" );
document.write( "By the way, the little you have been able to figure out to do is a BIG first step!<br><BR>\n" );
document.write( "Here is all I am going to show you....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=log%281%29%2Flog%281%2A2005%29 ALIGN=MIDDLE  ALT=\"f%281%29=log%281%29%2Flog%281%2A2005%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282005%29+=+log%282005%29%2Flog%282005%2A1%29 ALIGN=MIDDLE  ALT=\"f%282005%29+=+log%282005%29%2Flog%282005%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now find the sum of f(1) and f(2005) and use basic rules of logarithms to simplify....<br><BR>\n" );
document.write( "Then a little logical reasoning and simple mental arithmetic should lead you to the final answer.<br><BR>\n" );
document.write( "Best of luck.  I hope to hear from you one way or another...!<br><BR>\n" );
document.write( "Note: After you finish the problem, I will post a full answer so other students in the future can see it.<br><BR>\n" );
document.write( "---------------------------------------------------------------<br><BR>\n" );
document.write( "Thanks for the note of thanks.<br><BR>\n" );
document.write( "It looks as if you were able to finish the problem on your own using my suggestion, even though two other tutors posted full solutions....<br><BR>\n" );
document.write( "Good job!<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );