You look the number up in a table.
Example:Find the logarithm of 511
From a table I see that numbers are only listed from 1.00 to 9.99
I look up 5.11 and know that I have to multiply that by 100 or 102 to get my original value, which is equivalent to adding 2 to the table value.
The table gives me 0.7084209 for the logarithm for 5.11
The logarithm of 511 is thus 2.7084209
For numbers less than 1 the logarithm will be negative!
Negative numbers do have logarithms!
determination of log table value
John Napier created the Logarithm table.
The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.You can probably find both definitions in wikipedia.
Logarithm tables help you work with logarithms without using a calculator. Calculating a logarithm can be a long process. A table eliminates the need to perform extra math. If you need a specific logarithm, you simply look it up. The calculator was invented in the 1970's. Before that, people used slide rules or tables of logarithms. Using the tables of logarithms, you could perform multiplication, division, find roots or powers - and do all of that fairly easily.
Here is an excellent link upon this subject. http://www.oldcomputers.arcula.co.uk/bhist3.htm
The base 10 logarithm is called the "common logarithm". * * * * * It is also called the 'Briggsian logarithm', named after Henry Briggs, who introduced his table of logarithms on base 10 at Oxford in 1624, much to the joy of navigators, astronomers, and others having tedious calculations to perform.
To find the logarithmic cosine in a logarithm table or log book, you would need to first look up the logarithm of the cosine of the angle given. Locate the logarithm value of cosine in the log book corresponding to the angle provided, and this will give you the result.
If your number was say 5280 it is easier to make it into a decimal with one number before the point:5280 = 5.280 * 10^3Then use a logarith table to find the logarith of 5280 which, from my table, is 0.7226339.This is the Mantissa.Then you look at the exponent on the ten which is 3 (5.280 * 10^3).This is your characteristic.Therefore, the common logarithm of 5280 is 3.7226339 where 3 is the characteristic and 0.7226339 is the mantissa.Hope this helps, message me if you need more info.
There are several methods. Euler could find the value of a logarithm by doing a search using the geometric mean, arithmetic mean and a table. There is a series using that natural log that can be converted into base 10. I have my own method which is in the "related links" section.
anti logarithm
whats is the mantissa of logarithm
Take the logarithm of 500, half it, then take the antilog.