On this page is a *logarithm calculator*. Enter a logarithm base and x, and we’ll compute the logarithm.

This calculator can compute logs of base *2*, *e*, and *10*. However, for a dedicated calculator please try:

## Logarithm Calculator

**Table of Contents**show ▼

## What is a Logarithm?

A logarithm is an argument x where you have to find a power y to raise x by to equal. Rewritten, it means “how many times do I have to raise a number to equal a second number?”. Stated in context, log base 2 of 64 means “What power do I raise 2 to if I want to equal 64?”.

A logarithm is the opposite of an exponent. If you knew a base and an exponent, you’d be able to compute a result. When finding a logarithm, you know the base and the result and the logarithm is the exponent value you are looking to find.

## Logarithm Formula

The formula for a logarithm is:

Where:

- b: the
*base*of the equation (the number we need to raise to get the result) - x: the
*argument*; the number we need to raise b^y to equal - y: the
*exponent*or*power*; the number we need to raise the base to equal

### Logarithm Example

For example, let’s say you wanted to find the log base 2 of 64. Here’s how it’d look:

In this case you need to raise 2 to the **6**th power to get 64.

## Using the Logarithm Calculator

You only need to enter two numbers to get the logarithm: the base **b** and the argument **x**. Enter those to match the “log base b of x” sentence form. For base e you can type in the letter ‘e’ or try the natural logarithm calculator.

When happy with your input, hit **Compute Logarithm**.

*Afterwards, visit our other tools and calculators.*