Natural Log Calculator (ln)

Calculate the logarithm of a number to the base e (≈ 2.71828).

y = ln(x) ↔ eʸ = x
ln(10) ≈ 2.3025

What is a natural logarithm (ln)?

The natural logarithm is a logarithm with base e, where e is an irrational constant approximately equal to 2.71828. It is denoted as ln(x) or logₑ(x).

How do I calculate ln(x)?

The natural log of x is the power to which e must be raised to equal x. If eʸ = x, then ln(x) = y.

What is ln(1)?

The natural log of 1 is always 0, because e⁰ = 1.

What is ln(e)?

The natural log of e is 1, because e¹ = e.