Natural Log of 0.2
Logarithm Calculator
What is ln 0.2?
Answer
ln 0.2 ≈
−1.6094
ln is the natural log, base e ≈ 2.71828.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
ln 0.2 is the power you raise e ≈ 2.71828 to, to get 0.2: ey = 0.2.
e⁻² ≈ 0.1353 < 0.2 < e⁻¹ ≈ 0.3679, so −2 < ln 0.2 < −1
Answer point ≈ (0.2, −1.6094).
The curve y = ln x passes through (1, 0) and (e, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
| Base | Notation | Value |
|---|---|---|
| e | ln 0.2 | ≈ −1.6094 |
| 10 | log 0.2 | ≈ −0.6990 |
| 2 | log₂ 0.2 | ≈ −2.3219 |
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See Also
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