SOLUTION: Another logarithm question: Calculate log 5601 using table. Not in table. Closest: 5599 = 363 5611 = 364 Difference of .001 Difference of 5601 - 5999 = 2 Dif

Algebra.Com
Question 1210626: Another logarithm question:
Calculate log 5601 using table.
Not in table.
Closest: 5599 = 363 5611 = 364 Difference of .001
Difference of 5601 - 5999 = 2
Difference of 5611 - 5601 = 10
Not sure how to proceed.


Found 4 solutions by josgarithmetic, greenestamps, timofer, ikleyn:
Answer by josgarithmetic(39823)   (Show Source): You can put this solution on YOUR website!
5601
5.601x10^3
The exponent 3 will be important. 
Find in the table for 5.60      0.748188

               diff.  0.01          d

Want for 5.601                      total diff. 0.000775

               diff.  0.009

Find in the table for 5.61      0.748963

Using these, find what is d.







You are looking first for




Next, include the exponent from the original given number.


quick-check using Windows Calculator:
log(5601)=3.748265
Answer by greenestamps(13355)   (Show Source): You can put this solution on YOUR website!


The calculations in the response from @jogsarithmetic make no sense.

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.

From a table, find

log(5.60) = 0.748188
log(5.61) = 0.748963

(Note that the answer from the other tutor for log(5601) is greater than log(5610), which makes no sense...)

You want to find log(5601) = log(5.601*10^3) = 3+log(5.601)

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).

The difference between log(5.60) and log(5.61) is 0.748963-0.748188 = 0.000775

One-tenth of that difference is 0.0000775. So

log(5.601) = 0.748188+0.0000775 = 0.7482655

ANSWER: log(5601) = 3.7482655
Answer by timofer(159)   (Show Source): You can put this solution on YOUR website!
A better computation set up should be this. 
input         log
5.600         0.748188
5.601           ?
5.610         0.748963

letting d be how far from 0.748188 to the unknown part of the table, then








or better
Answer by ikleyn(53875)   (Show Source): You can put this solution on YOUR website!
.

For a reader:


The difference / (the discrepancy) between the numbers 3.748996 and 3.748265
in the post by @josgarithmetic tells/indicates that the procedure used by @josgarithmetic in his post is ERRONEOUS.

In order to convince that a computational procedure is valid,
the discrepancy MUST be much lesser.

I do not try to explain it to @josgarithmetic or to convince him (since it is useless).

I only want to aware a reader: do not accept wrong recommendations.



RELATED QUESTIONS

26.52 × 9.184 using logarithm... (answered by Alan3354)
Determine logarithm of 2113. My attempted solution of using log table: log 2110 =... (answered by greenestamps,Alan3354)
Dear tutor, I am having a problem with standard normal distribution table. I have been (answered by Theo)
Assume that a researcher randomly selects 14 newborn babies and counts the number of... (answered by math_tutor2020)
Find the value of 0.8176*13.64 by using log... (answered by lynnlo)
Hello: I can solve the following using the formula but cannot figure out how to do... (answered by Theo)
log 28.9= log .0472= antlog 2.3010= antilog (8.3010-10)= use the table of... (answered by stanbon)
Evaluate 1.487^3-1/1.487^3-1 using logarithm... (answered by Alan3354)
Using the z table in Appendix B, calculate the following percentages for a z score of... (answered by mathmate)