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 |
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