document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115168>Question 1115168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> estimate the value of ln2. Using complete sentences, explain how you know.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730215 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You didn't mention how but I'm going to use a Taylor series expansion.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%29=%28x-1%29-%28x-1%29%5E2%2F2%2B%28x-1%29%5E3%2F3-%28x-1%29%5E4%2F4%2B%28x-1%29%5E5%2F5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=%282-1%29-%282-1%29%5E2%2F2%2B%282-1%29%5E3%2F3-%282-1%29%5E4%2F4%2B%282-1%29%5E5%2F5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=1-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B1%2F7-1%2F8%2B1%2F9-1%2F10%2B1%2F11-1%2F12 ALIGN=MIDDLE  ALT=\"ln%282%29=1-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B1%2F7-1%2F8%2B1%2F9-1%2F10%2B1%2F11-1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can continue to add terms to get closer to the real value,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=18107%2F27720 ALIGN=MIDDLE  ALT=\"ln%282%29=18107%2F27720\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=0.6532 ALIGN=MIDDLE  ALT=\"ln%282%29=0.6532\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "compared to the real value of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29=0.6931 ALIGN=MIDDLE  ALT=\"ln%282%29=0.6931\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );