Natural Log of e

Logarithm Calculator
Log base
x

What is ln e?

Answer

ln e =
1

ln is the natural log, base e ≈ 2.71828.

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

e¹ = e ✓

Oxy1

Answer point (e, 1).

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 e in different bases
BaseNotationValue
eln e1
10log e≈ 0.4343
2log₂ e≈ 1.4427

See Also

FAQ

What is ln e?

ln e = 1

How to find ln e without a calculator?

Write e as a power of e: e = e¹. The exponent is the answer: ln e = 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.