# 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 unsure 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*.

The ratio of logarithms is used in the logarithmic scale – a nonlinear scale used to compare a 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; and
- 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 $y$:

Since log and antilog are inverse functions, then this means that:

## An example of inverse log calculation

- Decide on the number you want to find the antilogarithm of; let's say it's 3.
- Type in 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**?

## FAQ

### How do you find the antilog of a number?

**Decide on the base**of your calculation. Regular numbers are base 10.- Choose the number you wish to find the antilog of. For this example, we will choose 2.
**Raise the number to the base**, bˣ. In our example, the calculation is 10².- Marvel at your calculation prowess!

### What are the graphical characteristics of an antilog?

The antilog formula for base 10, **y = 10ˣ, will have the following graphical characteristics**.

As **x approaches minus infinity, y will tend towards 0** but **never actually touch the x-axis**.

**As x approaches infinity, y will also tend towards infinity**, but at an exponential pace. The **y-intercept is at y = 1**. These graphical properties hold true for any positive, non-zero base.

### How do you remove log and antilog?

**As log and antilog are inverse functions, you should use one to remove the other**. For example, **to remove a log, raise both sides of the formula to the base of the log** (the antilog). To **remove antilog, find the log of both sides** with a base equal to the base of the indices.

### How do you do antilog on a calculator?

**You will not find an ‘antilog’ button on the calculator**, but do not fret, as this is because it is easier to write **antilog in its numerical form, 10ˣ**.

This function is usually found as an alternative to the log function, but if your calculator lacks this functionality, you can easily **construct it yourself** by raising the function to the base of the logarithm, y = bˣ.

### What is the antilog of 3?

**The antilog of 3 will vary depending on the base of the original logarithm**. The formula for solving this problem is **y = b³**, where **b** is the logarithmic base, and **y** is the result.

For example, **if the base is 10** (as is the base for our regular number system), **the result is 1000**. If **the base is 2, the antilog of 3 is 8**. If the base is the exponential function (making it the natural logarithm), the result will be 20.09.

### What is the value of antilog₁₀ 100?

**The value of antilog₁₀(100) is a googol**, which is ten thousand sexdecillion, 10¹⁰⁰, or 1, followed by 100 zeroes. This is found by **solving the equation y = bˣ**, where in this instance, the base, **b**, is 10 and x is 100.

A googol is also **the number of hypothetical possibilities in a chess game**, the number of subatomic particles in the visible universe, and the number of years it would take for a supermassive black hole with roughly the mass of one galaxy to decay.

### How do you convert log to antilog?

- Note the base of your logarithm.
**Raise both sides**of the equation to that base.**This removes the logarithm**. For example, y = log₁₀(9) becomes 10ʸ = 9.- Solve the remaining equation.

### Is ln an antilog?

**Ln is not an antilog; it is instead the natural logarithm**, that is, the **logarithm with a base of e**, the exponential function.

**An antilog is the reverse of a logarithm**, found by raising a logarithm to its base. For example, the antilog of y = log₁₀(5) is 10ʸ = 5.

The **natural logarithm is useful in calculating the amount of time needed to reach a certain level of growth**, if, for y = ln(x), y = time, and x = value being grown.

### What is a mantissa?

**The mantissa, or significand, is the decimal part of a logarithm**. For example, in the logarithm 4.2168, **the mantissa is 0.2168**. Mantissas are used as they represent the digits of the number but **not its magnitude**, allowing for quick comparison of results without worrying about how many times the base is present.