Question 234499: how the log tables are constructed??
or
wat is the source of logarithm values?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! The log of a number is the exponent that the base of that number has to be raised to in order to equal the number.
Logs are used to solve exponential equations where the unknown value is the exponent.
The logarithm table tells you what exponent the base has to be raised to in order to equal the number.
Take the base of 10.
log (1000) = 3 because 10^3 = 1000
log (100) = 2 because 10^2 = 100
Now take the base of 2.
log (8) to the base 2 = 3 because 2^3 = 8
log(32) to the base 2 = 5 because 2^5 = 32
The log of a number is specific to the base that is being used.
Log (729) to the base 9 = 3 because 9^3 = 729
Log (729) to the base 3 = 6 because 3^6 = 729
The same number will have a different log depending on what base is being used.
In all cases, the log of the number equals the exponent that the base of that number needs to be raised to in order to equal the number.
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