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Natural Log

Free Natural Log calculator with clear step-by-step results.

About Natural Log

The natural logarithm uses base e.

Formula

Formula

ln(x) = natural log

Worked example

With the default values below, Natural Log returns ln(value) of 2.99573. Change any input above and every figure here is recalculated in your browser.

Inputs used

Valueminimum 0
20

Results

ln(value)
2.99573
log10(value)
1.30103
Value
20.00

Step by step

  1. 1Values used
  2. 2Formula
  3. 3ln(value)= 2.99573
  4. 4log10(value)= 1.30103
  5. 5Value= 20.00

Assumptions and limits

  • The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 5 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How does this calculator work?

The natural logarithm uses base e.

Why does this matter?

Valid for positive inputs.

Natural Log – Calculate ln(value) & log10(value) | Calcrivo