Log Base 3 of 1

Logarithm Calculator
Log base
x

What is log₃ 1?

Answer

log3 1 =
0

log3 is the log base 3.

log3 1 is the power you raise 3 to, to get 1: 3y = 1.

3⁰ = 1 ✓

Oxy1

Answer point (1, 0).

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 1 in different bases
BaseNotationValue
eln 10
10log 10
2log₂ 10
3log₃ 10

See Also

Log base 3 of nearby numbers

FAQ

What is log₃ 1?

log₃ 1 = 0

How to find log₃ 1 without a calculator?

Write 1 as a power of 3: 1 = 3⁰. The exponent is the answer: log₃ 1 = 0.

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.