document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210626>Question 1210626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Another logarithm question:\r<BR>\n" );
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document.write( "Calculate log 5601 using table.\r<BR>\n" );
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document.write( "Not in table.\r<BR>\n" );
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document.write( "Closest:  5599 =  363    5611 = 364    Difference of .001\r<BR>\n" );
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document.write( "Difference of 5601 - 5999 = 2\r<BR>\n" );
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document.write( "Difference of 5611 - 5601 = 10\r<BR>\n" );
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document.write( "Not sure how to proceed.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854472 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</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=854472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The calculations in the response from @jogsarithmetic make no sense.<br><BR>\n" );
document.write( "The answer they come out with is 3.748996, and they show the correct answer (from a calculator) to be 3.748265.  The answer they come out with should not be that far from the correct answer.<br><BR>\n" );
document.write( "From a table, find<br><BR>\n" );
document.write( "log(5.60) = 0.748188<BR>\n" );
document.write( "log(5.61) = 0.748963<br><BR>\n" );
document.write( "(Note that the answer from the other tutor for log(5601) is greater than log(5610), which makes no sense...)<br><BR>\n" );
document.write( "You want to find log(5601) = log(5.601*10^3) = 3+log(5.601)<br><BR>\n" );
document.write( "5.601 is one-tenth of the way from 5.60 to 5.61, so log(5.601) is (very nearly) one-tenth of the way from log(5.60) to log(5.61).<br><BR>\n" );
document.write( "The difference between log(5.60) and log(5.61) is 0.748963-0.748188 = 0.000775<br><BR>\n" );
document.write( "One-tenth of that difference is 0.0000775.  So<br><BR>\n" );
document.write( "log(5.601) = 0.748188+0.0000775 = 0.7482655<br><BR>\n" );
document.write( "ANSWER: log(5601) = 3.7482655<br><BR>\n" );
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