Log Base 9 of 27

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What is log₉ 27?

Answer

log9 27 =
3/2 = 1.5

log9 is the log base 9.

log9 27 is the power you raise 9 to, to get 27: 9y = 27.

93/2 = (√9)³ = 3³ = 27 ✓

Oxy

Answer point (27, 3/2).

The curve y = log9 x passes through (1, 0) and (9, 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
9log₉ 273/2

See Also

Log base 9 of nearby numbers

xlog₉ x
1/81−2
31/2
273/2

FAQ

What is log₉ 27?

log₉ 27 = 3/2 = 1.5

Why is log₉ 27 a fraction?

Both numbers are powers of 3: 9 = 3² and 27 = 3³, so 27 = 9^(3/2) and log₉ 27 = 3/2 = 1.5.

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.