Natural Log of 4
Logarithm Calculator
What is ln 4?
Answer
ln 4 ≈
1.3863
ln is the natural log, base e ≈ 2.71828.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
ln 4 is the power you raise e ≈ 2.71828 to, to get 4: ey = 4.
e¹ ≈ 2.7183 < 4 < e² ≈ 7.3891, so 1 < ln 4 < 2
Answer point ≈ (4, 1.3863).
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 4?
ln 4 ≈ 1.3863
What is the difference between ln 4 and log 4?
ln 4 is the logarithm to base e, log 4 is to base 10: ln 4 ≈ 1.3863, log 4 ≈ 0.6021. One is the other divided by ln 10: log 4 = ln 4 / ln 10 ≈ 0.6021.
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 0.1 (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)
- Natural Log of 5 (ln 5)
- Natural Log of 6 (ln 6)
- Natural Log of 7 (ln 7)
- Natural Log of 8 (ln 8)
- 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)
- Натуральный логарифм 4 (ln 4)
- Logaritmo natural de 4 (ln 4)
- Logaritmo natural de 4 (ln 4)