Log Base 3 of 3

Logarithm Calculator
Log base
x

What is log₃ 3?

Answer

log3 3 =
1

log3 is the log base 3.

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

3¹ = 3 ✓

Oxy1

Answer point (3, 1).

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 3 in different bases
BaseNotationValue
eln 3≈ 1.0986
10log 3≈ 0.4771
2log₂ 3≈ 1.5850
3log₃ 31

See Also

Log base 3 of nearby numbers

FAQ

What is log₃ 3?

log₃ 3 = 1

How to find log₃ 3 without a calculator?

Write 3 as a power of 3: 3 = 3¹. The exponent is the answer: log₃ 3 = 1.

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.