# 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**?

## 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. In our example we will choose 2.
**Raise the number to the base**, b^{x}. In our example the calculation is 10^{2}.- Marvel at your calculation prowess!

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

The antilog formula for base 10, **y = 10 ^{x}, 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, 10 ^{}**. This function is usually found as an alternative to the log function, but if you calculator lacks this functionality, you can easily

**construct it yourself**by raising the function to the base of the logarithm, y = b

^{x}.

### 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 = b ^{3}**, 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.

**The antilog of 3 will vary depending on the base of the original logarithm**. The formula for solving this problem is

**y = b**, where b is the logarithmic base, and y is the result. For example,

^{3}**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 antilog 10 100?

**The value of antilog _{10}(100) is a googol**, or ten thousand sexdectiollion, 10

^{100}, or 1 followed by 100 zeroes. This is found by

**solving the equation y = b**, where in this instance the base, b, is 10 and x is 100. This is also

^{x}**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**. E.g., y = log_{10}(9) becomes 10^{y}= 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 logarithm**, found by raising a logarithm to its base. For example, the antilog of y = log_{10}(5) is 10^{y} = 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 it magnitude**, allowing for quick comparison of results without worrying about how many times the base is present.

### How do you calculate antilog in Excel?

While it is easier to use the Omni Antilog calculator, to calculate antilog in Excel:

**Input**your base into a cell (e.g., 10 into cell A1). This step is**only necessary if the base varies**throughout your data set.- In another cell, input the number you wish to find the antilog of (e.g., 2 in cell B1).
**Calculate**the antilog by finding the power of the number to the base. In our example this would be =A1^B1.- If the base has not been specified, replace A1 with your desired base.