Natural Log of 0.01
Logarithm Calculator
What is ln 0.01?
Answer
ln 0.01 ≈
−4.6052
ln is the natural log, base e ≈ 2.71828.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
ln 0.01 is the power you raise e ≈ 2.71828 to, to get 0.01: ey = 0.01.
e⁻⁵ ≈ 0.0067 < 0.01 < e⁻⁴ ≈ 0.0183, so −5 < ln 0.01 < −4
Answer point ≈ (0.01, −4.6052).
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.
See Also
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
Natural log of nearby numbers
FAQ
What is ln 0.01?
ln 0.01 ≈ −4.6052
What is the difference between ln 0.01 and log 0.01?
ln 0.01 is the logarithm to base e, log 0.01 is to base 10: ln 0.01 ≈ −4.6052, log 0.01 = −2. One is the other divided by ln 10: log 0.01 = ln 0.01 / ln 10 = −2.
What does log without a base mean?
At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.
See Also
- Log of e (Base 10)
- Log Base 13 of 13 (log₁₃ 13)
- Log Base 16 of 1 (log₁₆ 1)
- Log Base 25 of 5 (log₂₅ 5)
- Log Base 81 of 27 (log₈₁ 27)
- Log Base 100 of 10 (log₁₀₀ 10)
- Natural Log of −1 (ln(−1))
- Natural Log of −2 (ln(−2))
- Natural Log of −5 (ln(−5))
- Natural Log of 0 (ln 0)
- Natural Log of 0.1 (ln 0.1)
- Natural Log of 0.2 (ln 0.2)
- Natural Log of 0.4 (ln 0.4)
- Natural Log of 0.5 (ln 0.5)
- Natural Log of 0.9 (ln 0.9)
- Natural Log of 1 (ln 1)
- Natural Log of 1.05 (ln 1.05)
- Natural Log of 1.5 (ln 1.5)
- Natural Log of 2 (ln 2)
- Natural Log of 3 (ln 3)
- Натуральный логарифм 0.01 (ln 0.01)
- Logaritmo natural de 0.01 (ln 0.01)
- Logaritmo natural de 0.01 (ln 0.01)