Natural Log Calculator
Calculate ln(x), the natural logarithm with base e. Supports positive numbers, fractions, e powers, exact matches, and explanatory steps.
Decimal approximation: 1
What natural log means
Natural log is the logarithm with base e. Users usually want a direct ln(x) value, a domain check, and a quick reminder that only positive real inputs are valid.
x is the positive input value and e is the natural-log base.
k is returned exactly when the input is a recognizable power of e.
Common natural-log cases
| Input | ln(input) |
|---|---|
| 1 | 0 |
| e | 1 |
| 2 | |
| 1/e | -1 |
| 2 | about 0.693 |
Frequently Asked Questions
Sources and References
Calculations are based on the listed reference sources. Links open in a new tab.
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