0
Logarithms is an extremely versatile function.
Originally, logarithms were used to simplify calculations. In days gone by, navigational tables required a huge number of calculations. Many of these calculations entailed multiplications of numbers with several (4-5) digits. This required people who were able arithmeticians.
However, transform the number to their logarithms. Then the process of multiplication is replaced by addition. Many more people can add together two 5-digit numbers than multiply two 5-digit numbers. So do the addition and then use a table to look up the antilog and you have the answer. It was much easier (and cheaper) to employ a large number of people who could perform these additions reliably.
A second, major role of logarithms is that they are the integral of the reciprocal functions. Many algebraic fractions can be restated as a sum of partial fractions which are all reciprocals of binomial terms. So the integral of the original fraction is the sum of the terms of the corresponding partial fractions. There are also other functions for which logs are required.
A logarithm is the inverse function to exponentiation. Compound interest or depreciation, radioactive decay, [unrestrained] population growth are all examples of exponential change over time. The increase (or decrease) over a known period of time can be calculated using the exponential function but you need the logarithmic function to calculate the time required for the variable in question to reach a specified threshold.
Wiki User
∙ 9y ago
Add your answer:
Earn +20 pts
What does log2 in maths mean?
Especially if the 2 is written as a subscript, it means the base-2 logarithm.
How do you solve common value of logarithm?
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.
Why did Romans use maths?
For the same reasons that we need to use maths today.
Why do Greeks use maths?
The same reason that people of other countries use maths.
What kind of maths do the insurance company use?
good maths =)
How a number can be written in the form of logarithm?
maths
What is napier remembered for in maths?
Natural logarithm (ln)
What does log2 in maths mean?
Especially if the 2 is written as a subscript, it means the base-2 logarithm.
How do you solve common value of logarithm?
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.
A story on use of maths in your daily life?
a story of maths on topic use of maths in our daily life
What countries use maths how?
All countries use maths for calculations.
Compare and contrast common logarithm with 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.
Why did Romans use maths?
For the same reasons that we need to use maths today.
Use of maths in lifetime?
you use maths in school, college, some jobs. if you want to have a job in maths you better start revising.
Why do Greeks use maths?
The same reason that people of other countries use maths.
Should you use the common logarithm or the natural logarithm?
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.
Show me the meaning of LN?
LN is typically the syntax used to represent the natural logarithm function. Although some programming languages and computer applications use LOG to represent this function, most calculators and math textbooks use LN. In use, it would look like this:y=ln(x)Which reads as "y equals the natural logarithm of x".The natural logarithm is a logarithm that has a base of e, Euler's number, which is a mathematical constant represented by a lowercase italic e (similar to how pi is a constant represented by a symbol). Euler's number is approximately equal to 2.718281, although it continues on far past six decimal places.Functionally, the natural logarithm can be used to solve exponential equations and is very useful in differentiating functions that are raised to another function. Typically, when the solution to an equation calls for the trivial use of a logarithm (that is the logarithm is only being used as a tool to rewrite the equation), either the natural logarithm or the common logarithm (base 10) is used.
