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What is a Log Base 2

A Log Base 2 or Logarithm with Base 2 is a mathematical operation that determines how many times a 2 number, called the base, is multiplied by itself to reach another number.

For example, 23 = 8. Therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

Log base 2 is also called the binary logarithm and stands for lb.
The logarithm can be a fractional number!

For example, log2 3 is approximately 1.58496, which lies between 1 and 2, just as 3 lies between 21 = 2 and 22 = 4.

Representation of a Log Base 2 function:

log2b = x, then 2x = b

If you need a logarithm calculator with a different base, use the Logarithm Calculator.

Log Base 2 Table

log2 x Notation Value
1 lb(1) 0
2 lb(2) 1
3 lb(3) 1,584963
4 lb(4) 2
5 lb(5) 2,321928
6 lb(6) 2,584963
7 lb(7) 2,807355
8 lb(8) 3
9 lb(9) 3,169925
10 lb(10) 3,321928
16 lb(16) 4
32 lb(32) 5
64 lb(64) 6
128 lb(128) 7
256 lb(256) 8
512 lb(512) 9
1024 lb(1024) 10

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