Log Base 9 of 3

Logarithm Calculator
Log base
x

What is log₉ 3?

Answer

log9 3 =
1/2 = 0.5

log9 is the log base 9.

log9 3 is the power you raise 9 to, to get 3: 9y = 3.

91/2 = √9 = 3 ✓

Oxy

Answer point (3, 1/2).

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 3 in different bases
BaseNotationValue
eln 3≈ 1.0986
10log 3≈ 0.4771
2log₂ 3≈ 1.5850
9log₉ 31/2

See Also

Log base 9 of nearby numbers

xlog₉ x
1/81−2
31/2
273/2

FAQ

What is log₉ 3?

log₉ 3 = 1/2 = 0.5

Why is log₉ 3 a fraction?

Both numbers are powers of 3: 9 = 3² and 3 = 3¹, so 3 = 9^(1/2) and log₉ 3 = 1/2 = 0.5.

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.