<PRE><B>Question 1210626</B>
&lt;br&gt;
The calculations in the response from @jogsarithmetic make no sense.&lt;br&gt;
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.&lt;br&gt;
From a table, find&lt;br&gt;
log(5.60) = 0.748188
log(5.61) = 0.748963&lt;br&gt;
(Note that the answer from the other tutor for log(5601) is greater than log(5610), which makes no sense...)&lt;br&gt;
You want to find log(5601) = log(5.601*10^3) = 3+log(5.601)&lt;br&gt;
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).&lt;br&gt;
The difference between log(5.60) and log(5.61) is 0.748963-0.748188 = 0.000775&lt;br&gt;
One-tenth of that difference is 0.0000775.  So&lt;br&gt;
log(5.601) = 0.748188+0.0000775 = 0.7482655&lt;br&gt;
ANSWER: log(5601) = 3.7482655&lt;br&gt;
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