How to Calculate Log Base 2?

How to find the log base 2 (log2) value?

Log2 Calculation

The log base 2, also known as the binary logarithm uses the number 2 as the base. The log2 of a number n is the power to which the number 2 must be raised to obtain the value n. For example, the binary logarithm of 1 is 0, 2 is 1, 8 is 3 and 32 is 5. That is Binary Logarithm (2) is multiplied by itself 3 times to obtain 8 and multiplied 5 times to obtain 32. In other words, log base 2 or the binary logarithm is how many times the number "2" is multiplied by itself to obtain the given value.

This logarithm is used in bioinformatics, computer science, photography, maths, physics, chemistry and in other fields. The binary logarithm is generally denoted as lb(x) or log₂(x). Generally, logarithm uses a base number to obtain a resultant number. Here is a simple online tutorial that helps you to learn the basics of binary logarithm and log2 calculation.
Use this step by step tutorial to learn how to calculate log base 2.

Formula:
Log base 2 of a number "n" is the power to which the number "2" (base value) must be raised to obtain the value n. Hence, log2 calculation can be done using the below formula
Log₂ n = 2^x = n
Where,
x is the log₂ of n.
That is, the number of times, the number "2" should be multiplied by itself to obtain n.

Step 1: Consider the below example:
Lets assume that we are required to find the log base 2 for the numbers 8, 32, 64. Hence lets assign the values as below.
log₂(8)
log₂(32)
log₂(64)

Step 2: Substituting the Values:
log₂ (8) = 2³ = 8
log₂ (32) = 2⁵ = 32
log₂ (64) = 2⁶ = 64
Hence,
log base 2 of 8 is 3
log base 2 of 32 is 5
log base 2 of 64 is 6

Hence, the log2 value for different numbers can be calculated accordingly.
Calculate binary logarithm (log2) online using Log Base 2 Calculator.
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