Log Base 2 of 16

Logarithm Calculator
Log base
x

What is log₂ 16?

Answer

log2 16 =
4

log2 is the log base 2.

log2 16 is the power you raise 2 to, to get 16: 2y = 16.

2⁴ = 16 ✓

Oxy

Answer point (16, 4).

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 16 in different bases
BaseNotationValue
eln 16≈ 2.7726
10log 16≈ 1.2041
2log₂ 164

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 16?

log₂ 16 = 4

How to find log₂ 16 without a calculator?

Write 16 as a power of 2: 16 = 2⁴. The exponent is the answer: log₂ 16 = 4.

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.