Log Base 2 of 8

Logarithm Calculator
Log base
x

What is log₂ 8?

Answer

log2 8 =
3

log2 is the log base 2.

log2 8 is the power you raise 2 to, to get 8: 2y = 8.

2³ = 8 ✓

Oxy1

Answer point (8, 3).

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 8 in different bases
BaseNotationValue
eln 8≈ 2.0794
10log 8≈ 0.9031
2log₂ 83

See Also

FAQ

What is log₂ 8?

log₂ 8 = 3

How to find log₂ 8 without a calculator?

Write 8 as a power of 2: 8 = 2³. The exponent is the answer: log₂ 8 = 3.

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.