Natural Log of 8
Logarithm Calculator
What is ln 8?
Answer
ln 8 ≈
2.0794
ln is the natural log, base e ≈ 2.71828.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
ln 8 is the power you raise e ≈ 2.71828 to, to get 8: ey = 8.
e² ≈ 7.3891 < 8 < e³ ≈ 20.0855, so 2 < ln 8 < 3
Answer point ≈ (8, 2.0794).
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
FAQ
What is ln 8?
ln 8 ≈ 2.0794
What is the difference between ln 8 and log 8?
ln 8 is the logarithm to base e, log 8 is to base 10: ln 8 ≈ 2.0794, log 8 ≈ 0.9031. One is the other divided by ln 10: log 8 = ln 8 / ln 10 ≈ 0.9031.
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
- 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)
- Natural Log of 4 (ln 4)
- Natural Log of 5 (ln 5)
- Natural Log of 6 (ln 6)
- Natural Log of 7 (ln 7)
- Natural Log of 9 (ln 9)
- Natural Log of 10 (ln 10)
- Natural Log of 14 (ln 14)
- Natural Log of 16 (ln 16)
- Natural Log of 18 (ln 18)
- Natural Log of 20 (ln 20)
- Natural Log of 21 (ln 21)
- Natural Log of 30 (ln 30)
- Natural Log of 40 (ln 40)
- Natural Log of 42 (ln 42)
- Натуральный логарифм 8 (ln 8)
- Logaritmo natural de 8 (ln 8)
- Logaritmo natural de 8 (ln 8)