Definition: ln(x) is the logarithm base e (Euler’s number ≈ 2.718281828).
Domain: x > 0. (ln(0) → −∞; ln(negative) is undefined in reals.)
Key values: ln(1)=0, ln(e)=1, ln(ek)=k.
Change of base: logb(x) = ln(x)/ln(b). (Used above for log10 and log2.)
Growth: ln(x) increases slowly; doubling x adds ln(2) ≈ 0.6931.
Precision: selector controls formatting (6–15 sig. digits), not the math engine.
Tips & edge cases
Use scientific notation for very small/large inputs (e.g., 1e-12).
If you need high-precision constants, enter them directly (e.g., 2.718281828 for e).
For unit conversions of logs, apply the change-of-base identity.
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