Log Base 8 of 2

Logarithm Calculator
Log base
x

What is log₈ 2?

Answer

log8 2 =
1/3 ≈ 0.3333

log8 is the log base 8.

log8 2 is the power you raise 8 to, to get 2: 8y = 2.

81/3 = ∛8 = 2 ✓

Oxy1

Answer point (2, 1/3).

The curve y = log8 x passes through (1, 0) and (8, 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
8log₈ 21/3

See Also

Log base 8 of nearby numbers

xlog₈ x
10
21/3
42/3
5≈ 0.7740

FAQ

What is log₈ 2?

log₈ 2 = 1/3 ≈ 0.3333

Why is log₈ 2 a fraction?

Both numbers are powers of 2: 8 = 2³ and 2 = 2¹, so 2 = 8^(1/3) and log₈ 2 = 1/3 ≈ 0.3333.

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.