Log of 0.3 (Base 10)
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What is log 0.3?
Answer
log 0.3 ≈
−0.5229
log here is the common log, base 10.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log 0.3 is the power you raise 10 to, to get 0.3: 10y = 0.3.
10⁻¹ = 1/10 < 0.3 < 1 = 10⁰, so −1 < log 0.3 < 0
log 0.3 = ln 0.3 / ln 10 ≈ −1.203973 / 2.302585 ≈ −0.5229
Answer point ≈ (0.3, −0.5229).
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.
| Base | Notation | Value |
|---|---|---|
| e | ln 0.3 | ≈ −1.2040 |
| 10 | log 0.3 | ≈ −0.5229 |
| 2 | log₂ 0.3 | ≈ −1.7370 |
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 0.3?
log 0.3 ≈ −0.5229
What is the difference between log 0.3 and ln 0.3?
ln 0.3 is the logarithm to base e, log 0.3 is to base 10: ln 0.3 ≈ −1.2040, log 0.3 ≈ −0.5229. One is the other divided by ln 10: log 0.3 = ln 0.3 / ln 10 ≈ −0.5229.
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
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- Log Base 9 of 1/81 (log₉(1/81))
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- Log of −1 (Base 10)
- Log of −2 (Base 10)
- 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 0.8 (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 3 (Base 10)
- Log of 4 (Base 10)
- Log of 5 (Base 10)
- Log of 6 (Base 10)
- Log of 7 (Base 10)
- Десятичный логарифм 0.3 (lg 0.3)
- Logaritmo decimal de 0.3 (log 0.3)
- Logaritmo decimal de 0.3 (log 0.3)