Natural Log of 1

Logarithm Calculator
Log base
x

What is ln 1?

Answer

ln 1 =
0

ln is the natural log, base e ≈ 2.71828.

ln 1 is the power you raise e ≈ 2.71828 to, to get 1: ey = 1.

e⁰ = 1 ✓

Oxy1

Answer point (1, 0).

The curve y = ln x passes through (1, 0) and (e, 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

See Also

FAQ

What is ln 1?

ln 1 = 0

How to find ln 1 without a calculator?

Write 1 as a power of e: 1 = e⁰. The exponent is the answer: ln 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.