Log Base 2 of 4

Logarithm Calculator
Log base
x

What is log₂ 4?

Answer

log2 4 =
2

log2 is the log base 2.

log2 4 is the power you raise 2 to, to get 4: 2y = 4.

2² = 4 ✓

Oxy1

Answer point (4, 2).

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 4 in different bases
BaseNotationValue
eln 4≈ 1.3863
10log 4≈ 0.6021
2log₂ 42

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 4?

log₂ 4 = 2

How to find log₂ 4 without a calculator?

Write 4 as a power of 2: 4 = 2². The exponent is the answer: log₂ 4 = 2.

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.