Log Base 2 of 32

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Log base
x

What is log₂ 32?

Answer

log2 32 =
5

log2 is the log base 2.

log2 32 is the power you raise 2 to, to get 32: 2y = 32.

2⁵ = 32 ✓

Oxy

Answer point (32, 5).

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 32 in different bases
BaseNotationValue
eln 32≈ 3.4657
10log 32≈ 1.5051
2log₂ 325

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 32?

log₂ 32 = 5

How to find log₂ 32 without a calculator?

Write 32 as a power of 2: 32 = 2⁵. The exponent is the answer: log₂ 32 = 5.

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.