Log Base 3 of 9

Logarithm Calculator
Log base
x

What is log₃ 9?

Answer

log3 9 =
2

log3 is the log base 3.

log3 9 is the power you raise 3 to, to get 9: 3y = 9.

3² = 9 ✓

Oxy

Answer point (9, 2).

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 9 in different bases
BaseNotationValue
eln 9≈ 2.1972
10log 9≈ 0.9542
2log₂ 9≈ 3.1699
3log₃ 92

See Also

Log base 3 of nearby numbers

FAQ

What is log₃ 9?

log₃ 9 = 2

How to find log₃ 9 without a calculator?

Write 9 as a power of 3: 9 = 3². The exponent is the answer: log₃ 9 = 2.

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.