document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739606>Question 739606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log(1.00417) how to see in the log table ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451213 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=451213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have not seen a log tables book in the last 40 years.<BR>\n" );
document.write( "I found an easy to read one at http://www.sosmath.com/tables/logtable/logtable.html<BR>\n" );
document.write( "That table said that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.004%29=0.00173371 ALIGN=MIDDLE  ALT=\"log%281.004%29=0.00173371\"   DISABLED_style= \"max-width:90%; height:auto;\" > and log(1.005)=0.00216606}}}<BR>\n" );
document.write( "To find an approximation of the log for numbers in between, we do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28interpolation%29 ALIGN=MIDDLE  ALT=\"highlight%28interpolation%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Interpolation is the calculation of the approximate value of a function in between two known values, assuming that a straight line is a good approximation.<BR>\n" );
document.write( " <BR>\n" );
document.write( "USING LINEAR FUNCTIONS DEFINITIONS:<BR>\n" );
document.write( "The slope of the line would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.00216606-0.00173371%29%2F%281.005-1.004%29=.00043235%2F0.001=0.43235 ALIGN=MIDDLE  ALT=\"%28.00216606-0.00173371%29%2F%281.005-1.004%29=.00043235%2F0.001=0.43235\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation of the line would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%29-0.00173371=0.43235%2A%28x-1.004%29 ALIGN=MIDDLE  ALT=\"log%28x%29-0.00173371=0.43235%2A%28x-1.004%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (a point slope form of the equation)<BR>\n" );
document.write( "or the equivalent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%29=0.00173371%2B0.43235%2A%28x-1.004%29 ALIGN=MIDDLE  ALT=\"log%28x%29=0.00173371%2B0.43235%2A%28x-1.004%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.00417%29=0.00173371%2B0.43235%2A%281.00417-1.004%29=0.00173371%2B0.43235%2A0.00017=0.00180721 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Reading those logs in other tables may get a lot more complicated.<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOT MENTIONING LINEAR FUNCTIONS:<BR>\n" );
document.write( "We are assuming that the increase in the log is proportional to the increase in the number.<BR>\n" );
document.write( "We know the ratio for the increases in the points from the table:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.00216606-0.00173371%29%2F%281.005-1.004%29=.00043235%2F0.001 ALIGN=MIDDLE  ALT=\"%28.00216606-0.00173371%29%2F%281.005-1.004%29=.00043235%2F0.001\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The increase between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.004%29 ALIGN=MIDDLE  ALT=\"log%281.004%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%7Blog%281.00417%29 ALIGN=MIDDLE  ALT=\"%7Blog%281.00417%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be proportional, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%281.00417%29-0.00173371%29%2F%281.00417-1.004%29=.00043235%2F0.001 ALIGN=MIDDLE  ALT=\"%28log%281.00417%29-0.00173371%29%2F%281.00417-1.004%29=.00043235%2F0.001\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%281.00417%29-0.00173371%29%2F.00417=.00043235%2F0.001 ALIGN=MIDDLE  ALT=\"%28log%281.00417%29-0.00173371%29%2F.00417=.00043235%2F0.001\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%281.00417%29-0.00173371%29=%28.00043235%2F0.001%29%2A0.00017 ALIGN=MIDDLE  ALT=\"%28log%281.00417%29-0.00173371%29=%28.00043235%2F0.001%29%2A0.00017\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%281.00417%29-0.00173371%29=0.00007350 ALIGN=MIDDLE  ALT=\"%28log%281.00417%29-0.00173371%29=0.00007350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.00417%29=0.00173371%2B0.00007350=0.00180721 ALIGN=MIDDLE  ALT=\"log%281.00417%29=0.00173371%2B0.00007350=0.00180721\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );