Here is an excellent link upon this subject. http://www.oldcomputers.arcula.co.uk/bhist3.htm
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.
u cant... next question like a boss. You can use them for engeneering and banking.
A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)
The logarithm of a number with base=B is written as [ logB(N) ].If the base is 10, it's called the "common logarithm" of N and the base isn't written. [ log(N) ].If the base is 'e', it's called the "natural logarithm" of N, and written [ ln(N) ].
A natural logarithm or a logarithm to the base e are written as: ln(X) as opposed to loge(X)
John Napier created the Logarithm table.
To create a logarithm table, start by selecting a base for the logarithm, commonly base 10 (common logarithm) or base e (natural logarithm). Calculate the logarithm values for a range of numbers, typically from 1 to 100, using the logarithm formula or a calculator. Record these values in a table format, listing the numbers in one column and their corresponding logarithm values in the adjacent column. Ensure to include necessary decimal places for accuracy and consider adding interpolation for non-integer values.
You look the number up in a table.Example:Find the logarithm of 511From a table I see that numbers are only listed from 1.00 to 9.99I 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 5.11The logarithm of 511 is thus 2.7084209For numbers less than 1 the logarithm will be negative!Negative numbers do have logarithms!
determination of log table value
The actual calculations to get a logarithm are quite complicated; in most cases you are better off if you look the logarithm up in tables, or use a scientific calculator.
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.
You use a scientific calculator, or a logarithm table. The actual calculations are rather involved, and include adding up an infinite converging series. Eventually the terms of the series become small enough so that you can ignore them, but it is still too involved to do it on a regular basis.You use a scientific calculator, or a logarithm table. The actual calculations are rather involved, and include adding up an infinite converging series. Eventually the terms of the series become small enough so that you can ignore them, but it is still too involved to do it on a regular basis.You use a scientific calculator, or a logarithm table. The actual calculations are rather involved, and include adding up an infinite converging series. Eventually the terms of the series become small enough so that you can ignore them, but it is still too involved to do it on a regular basis.You use a scientific calculator, or a logarithm table. The actual calculations are rather involved, and include adding up an infinite converging series. Eventually the terms of the series become small enough so that you can ignore them, but it is still too involved to do it on a regular basis.
To find a logarithm, you need to determine the power to which a given base must be raised to produce a specific number. The logarithm can be expressed as ( \log_b(a) = c ), meaning ( b^c = a ), where ( b ) is the base, ( a ) is the number, and ( c ) is the logarithm. You can use logarithm tables, calculators, or software tools to compute logarithms for various bases, such as base 10 (common logarithm) or base ( e ) (natural logarithm).
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.
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.
The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.It really depends on the question!Maybe you should check out the examples!++++The common, or Base-10, logarithm will cover any multiplication, division and power arithmetic in the ordinary numbers, which are to base-10. It is also the base for the logarithmic ratio defining the decibel scale used in acoustics and electrical signals analysis.'The natural logarithm (base-e) underlies a large number of specific scientific laws and purposes, such as the expansion of gas in a cylinder.
whats is the mantissa of logarithm