A Brief Study of Logarithms
To be précised and accurate, a logarithm is the inverse of an exponent or exponentiation function. Let’s assume there are three numbers indicated by a, x and n. Then the relationship they form is
If ax = n, where n > 0, a > 0 and a =/ 1
Then “x” is said to be the logarithm of the number “n” to the base “a” making logan = x. For better and easy understandability the formula of a logarithm is also written as
y = logbx
The usage of logarithms are not only found in the logarithm scale, a nonlinear scale that used to compare large values used in many other fields of study, especially science.
- Earthquake Strength Measurement
- Number Theory
- Probability Theory
What is Antilog or Antilogarithm and How to Calculate Inverse of Log?
As we discussed earlier, the log is the inverse of an exponent. So in other terms, an antilog or antilogarithm can also be called as exponentiation. The antilog function is the reverse process of finding the logarithm, called antilogarithm. On this base, an antilogarithm calculator can also be named as an inverse calculator or inverse function calculator. We will be discussing the inverse calculator or inverse function calculator later on this article.
In numerical terms an antilog is if “x” is the logarithm of a given number “n” with the given base “a” then n is called antilog or antilogarithm of “x” to that base
Mathematically it can be stated as, if logan = x then n = antilog x or x = logb-1 (y) = y. As we mentioned earlier that log and inverse log or inverse of the log are inverse functions to each other this means that
X = by = blogbx (y) = by, and y = logbx = logb(by).
Examples of Antilog or Inverse Log Function
Example 1: Given that log (7) = 0.841 and log (2) = 0.3010, calculate the following:
Antilog / inverse of log (3.3010)
Solution: As per the antilog or inverse log formula, we get
Antilog (3.3010) = 103.3010 = 103 + 0.3010 = 103 x 100.3010 = 1000.2 = 2000
Example 2: Evaluate 7245/9798
Solution: Let x be 7245/9798
Taking logs; we get
log x = log
log x= log 7245 – log 9798
log x= log (7.245x103) – log (9.798x103)
log x = 3.8600 – 3.9912
log x = 1 .8688
x = Antilog ( 1 .8688)
x = 7.392x10–1 = 0.7322
What are the tips to find the antilog of a number?
Finding an antilog is as easy as finding a logarithm of a function. Even the process is also similar in many ways. To find the antilog of a number first of all
- Decide the base of your finding. In most cases, regular numbers are base 10
- Now choose the number you want to find the antilog of
- Raise the number of base, bx/li>
- Revise the entire process again to revise the calculations
Is Natural log (ln) an Inverse log?
The natural logarithm is a type of logarithm which clarifies that log natural or ln is not an inverse or antilog. As we know, a natural log is a logarithm with a base of “e” where “e” is an exponential function. On the other hand, an antilog or inverse of a log is an entire reverse of a log. An inverse log or antilog is found by raising a logarithm to its base “b”. So from the above definitions and perspectives, we can say that a natural log is not an antilog.
How to Calculate Antilog on a Scientific Calculator?
A scientific calculator isn’t a special inverse calculator or inverse function calculator. But it is a more general type of a calculator giving freedom to all of us to calculate mathematical as well as scientific problems on the go. You can find a scientific calculator online or in physical form. It all depends on your requirements. The process of finding or calculating antilogarithm is almost the same on all scientific calculators. Now without wasting any further time, let’s find out how to calculate antilogarithm on a scientific calculator
- Press Shift or 2nd Key First when doing antilog
- Then press log button (Shift or 2nd Key converts it into antilog mode)
- Enter any number with base 10 to find antilogarithm of it
That’s all you need to do to calculate antilogarithm on a scientific calculator.
What is an Antilog Calculator?
Thanks to the antilog calculator, inverse calculator or inverse function calculator to making it easy for all of us to calculating the antilogarithm so easily. Don’t need to be surprised, both the terms inverse calculator or inverse function calculator is the same as antilog calculator. There are many web-based antilog calculators available online. But our inverse calculator beats the rest by its greater accuracy and usability. This inverse function calculator allows you to calculate the antilog of any number with any arbitrary base without any restrictions. It is quite a hassle to calculate or solve antilog problems by hands. So why rely on conventional methods when you have the best inverse calculator.
How to Calculate Antilog on Our Antilog Calculator?
Calculating the inverse log or antilogarithm on our inverse function calculator is as easy as it is to calculate on a scientific calculator. To calculate antilog, inverse log of any function or value on antilog calculator, you need to perform the following steps
- Put the number you wish to find antilog in First Field
- Put your base into 2nd Field
- Click on the “CALCULATE” button
There isn’t anything complex on our calculator. Having problem to find antilog of different numbers? Try this antilog calculator to get your desired results within a few seconds.