Log of 3 (Base 10)
Logarithm Calculator
What is log 3?
Answer
log 3 ≈
0.4771
log here is the common log, base 10.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log 3 is the power you raise 10 to, to get 3: 10y = 3.
10⁰ = 1 < 3 < 10 = 10¹, so 0 < log 3 < 1
log 3 = ln 3 / ln 10 ≈ 1.098612 / 2.302585 ≈ 0.4771
Answer point ≈ (3, 0.4771).
The curve y = log x passes through (1, 0) and (10, 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 log 3?
log 3 ≈ 0.4771
What is the difference between log 3 and ln 3?
ln 3 is the logarithm to base e, log 3 is to base 10: ln 3 ≈ 1.0986, log 3 ≈ 0.4771. One is the other divided by ln 10: log 3 = ln 3 / ln 10 ≈ 0.4771.
What is e?
e ≈ 2.71828 is the base of the natural logarithm: ln x is the logarithm of x to base e, so ln e = 1. It is an irrational number, like π.
See Also
- Log of 0 (Base 10)
- Log of 0.01 (Base 10)
- Log of 0.05 (Base 10)
- Log of 0.1 (Base 10)
- Log of 0.3 (Base 10)
- Log of 0.8 (Base 10)
- Log of 0.9 (Base 10)
- Log of 1 (Base 10)
- Log of 1.6 (Base 10)
- Log of 2 (Base 10)
- Log of 4 (Base 10)
- Log of 5 (Base 10)
- Log of 6 (Base 10)
- Log of 7 (Base 10)
- Log of 8 (Base 10)
- Log of 9 (Base 10)
- Log of 10 (Base 10)
- Log of 15 (Base 10)
- Log of 16 (Base 10)
- Log of 25 (Base 10)
- Десятичный логарифм 3 (lg 3)
- Logaritmo decimal de 3 (log 3)
- Logaritmo decimal de 3 (log 3)