Log Base 81 of 27

Logarithm Calculator
Log base
x

What is log₈₁ 27?

Answer

log81 27 =
3/4 = 0.75

log81 is the log base 81.

log81 27 is the power you raise 81 to, to get 27: 81y = 27.

813/4 = (∜81)³ = 3³ = 27 ✓

Oxy

Answer point (27, 3/4).

The curve y = log81 x passes through (1, 0) and (81, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 27 in different bases
BaseNotationValue
eln 27≈ 3.2958
10log 27≈ 1.4314
2log₂ 27≈ 4.7549
81log₈₁ 273/4

See Also

Log base 81 of nearby numbers

xlog₈₁ x
273/4

FAQ

What is log₈₁ 27?

log₈₁ 27 = 3/4 = 0.75

Why is log₈₁ 27 a fraction?

Both numbers are powers of 3: 81 = 3⁴ and 27 = 3³, so 27 = 81^(3/4) and log₈₁ 27 = 3/4 = 0.75.

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.