# Antilog Calculator (Antilogarithm)

Thanks to the antilog calculator you can calculate the inverse logarithm function. Calculate the antilogarithm of any number with any arbitrary base - whether it is 10, natural antilog or any other number. If you are not sure what the antilogarithm is, read the description below where we explain everything step by step.

## Let's start from the beginning: what is a logarithm?

The logarithm is the inverse function to exponentiation. That means the logarithm of a given number *x* is the exponent to which the base *b* must be raised to produce that number *x*.

**y = log _{b}x**

The ratio of logarithms is used in logarithmic scale - a nonlinear scale used to compare large range of values. It is widely used in many fields of science:

- Acoustics (check decibel calculator for sound pressure and sound intensity levels)
- Chemistry (for instance pH scale; test our arterial and venous blood pH calculators)
- Probability theory and statistics
- Number theory
- Psychology
- Measuring the earthquake strength

## What is antilogarithm and how to calculate it?

As we said, the logarithm is the inverse function to exponentiation, so... Yes, you're right! **The antilogarithm is simply the exponentiation!** To calculate an antilog of any number *y*, you need to raise the logarithm base *b* (usually 10, sometimes *e*), to the power of *y*:

**x = log _{b}^{-1}(y) = b^{y}**

Since log and antilog are inverse functions, then this means that
**x = b ^{y} = b^{logbx}**, and

**y = log**.

_{b}x = log_{b}(b^{y })## An example of inverse log calculation

- Decide on the number you want to find the antilogarithm of, let's say it's 3.
- Type your base - assume we want to calculate the natural antilog. We can enter the approximation of Euler's number which is equal to 2.71828 or just type "
*e*" - the calculator understands it. - The antilog value appears below: it's 20.086 (third power of
*e*).

Wasn't that easy with our **antilog calculator**?