Natural Log of e (ln e)
The natural logarithm of e is exactly 1.
How to use this tool
- Enter number and base in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your log result and the full breakdown beneath it.
ln(e) = 1 by definition — the natural log of Euler's number is always exactly 1.
Frequently asked questions
- How do you calculate a logarithm with any base?
- Use the change-of-base formula: log_b(x) = ln(x) / ln(b). For example, log_2(8) = ln(8)/ln(2) = 3.