document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382320>Question 382320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find log (1/2)+log(2/3)+log(3/4)+log(4/5)+log(5/6+log(6/7)....log(98/98)+log(99/100) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270989 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find log (1/2)+log(2/3)+log(3/4)+log(4/5)+log(5/6+log(6/7)....log(98/98)+log(99/100)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Fact: loga(b) = logc(b)/logc(a)<BR>\n" );
document.write( "This is the \"Change of Base Law\".<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Using that over and over and over agin on you problem<BR>\n" );
document.write( "you will see that everything cancels except <BR>\n" );
document.write( "log(1)/log(100)<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "= 0/2 = 0<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );