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Natural Log Calculator
ln(x) — natural logarithm (base e).
Enter values to see your result
Frequently asked questions
What is e?
Euler's number ≈ 2.71828. Unique base where d/dx[e^x] = e^x. Arises naturally in compound interest (limit of (1+1/n)^n as n → ∞).
ln vs log?
ln = log base e. log = usually log base 10 (math) or base e (some contexts). Always clarify base.
When to use ln?
Continuous compounding, CAGR calculation, half-life, Richter scale, Fechner's law, any exponential decay/growth.
ln(1) = ?
0. Because e^0 = 1. Also ln(e) = 1, ln(e²) = 2.