Log Base 3 of 27

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Log base
x

What is log₃ 27?

Answer

log3 27 =
3

log3 is the log base 3.

log3 27 is the power you raise 3 to, to get 27: 3y = 27.

3³ = 27 ✓

Oxy

Answer point (27, 3).

The curve y = log3 x passes through (1, 0) and (3, 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
3log₃ 273

See Also

Log base 3 of nearby numbers

FAQ

What is log₃ 27?

log₃ 27 = 3

How to find log₃ 27 without a calculator?

Write 27 as a power of 3: 27 = 3³. The exponent is the answer: log₃ 27 = 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.