# Log2 Calculator

Log2 Calculator, a powerful tool designed to simplify logarithmic calculations specifically for the base 2 logarithm. The logarithm base 2, often denoted as log2, is a fundamental mathematical function that represents the power to which 2 must be raised to obtain a given number. This tool aims to make log2 calculations effortless and accessible for everyone.

### What is log2 ?

Log2 is the logarithm to the base 2. It is the inverse operation of exponentiation with base 2, just as regular logarithms are the inverse of exponentiation. The log2 function answers the question: "2 to what power equals a given number?"

### Why use a log2 Calculator ?

Calculating logarithms manually can be time-consuming and prone to errors. Our log2 Calculator simplifies this process, providing accurate results in a fraction of the time. It is particularly useful in various fields such as computer science, information theory, and signal processing.

### How to use the Log2 Calculator ?

To find the log2 of a number, simply input the desired value into the calculator, and the result will be displayed instantly. Our user-friendly interface ensures a seamless experience for both beginners and advanced users.

### Log2 Calculator Formula

`${\mathrm{log}}_{2}\left(x\right)=\frac{{\mathrm{log}}_{10}\left(x\right)}{{\mathrm{log}}_{10}\left(2\right)}$`

This formula utilizes the change of base formula, converting log base 2 to log base 10 for easy computation.

### Log2 Table

Here is a small log2 table for reference:

xLog2(x)
21
42
83
164
325

### Examples:

Example 1:

Input: log2(8)

${\text{Calculation:}}_{}=\frac{{\mathrm{log}}_{10}\left(8\right)}{{\mathrm{log}}_{10}\left(2\right)}$

Output : log2(8) = 3

Example 2:

Input: log2(16)

${\text{Calculation:}}_{}=\frac{{\mathrm{log}}_{10}\left(\mathrm{16}\right)}{{\mathrm{log}}_{10}\left(2\right)}$

Output : log2(18) = 4

Example 3:

Input: log2(8)

${\text{Calculation:}}_{}=\frac{{\mathrm{log}}_{10}\left(2\right)}{{\mathrm{log}}_{10}\left(2\right)}$

Output : log2(2) = 1