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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

$\log_{2} (x) = \frac{\log_{10} (x)}{\log_{10} (2)}$

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:

x	Log₂(x)
2	1
4	2
8	3
16	4
32	5

Examples:

Example 1:

Input: log₂(8)

$Calculation: = \frac{\log_{10} (8)}{\log_{10} (2)}$

Output : log₂(8) = 3

Example 2:

Input: log₂(16)

$Calculation: = \frac{\log_{10} (16)}{\log_{10} (2)}$

Output : log₂(18) = 4

Example 3:

Input: log₂(8)

$Calculation: = \frac{\log_{10} (2)}{\log_{10} (2)}$

Output : log₂(2) = 1

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What is log2 ?

Why use a log2 Calculator ?

How to use the Log2 Calculator ?

Log2 Calculator Formula

Log2 Table