Log Base 2 of 2

Logarithm Calculator
Log base
x

What is log₂ 2?

Answer

log2 2 =
1

log2 is the log base 2.

log2 2 is the power you raise 2 to, to get 2: 2y = 2.

2¹ = 2 ✓

Oxy1

Answer point (2, 1).

The curve y = log2 x passes through (1, 0) and (2, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 2 in different bases
BaseNotationValue
eln 2≈ 0.6931
10log 2≈ 0.3010
2log₂ 21

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 2?

log₂ 2 = 1

How to find log₂ 2 without a calculator?

Write 2 as a power of 2: 2 = 2¹. The exponent is the answer: log₂ 2 = 1.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.