Log of 0.8 (Base 10)
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What is log 0.8?
Answer
log 0.8 ≈
−0.0969
log here is the common log, base 10.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log 0.8 is the power you raise 10 to, to get 0.8: 10y = 0.8.
10⁻¹ = 1/10 < 0.8 < 1 = 10⁰, so −1 < log 0.8 < 0
log 0.8 = ln 0.8 / ln 10 ≈ −0.223144 / 2.302585 ≈ −0.0969
Answer point ≈ (0.8, −0.0969).
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 0.8 | ≈ −0.2231 |
| 10 | log 0.8 | ≈ −0.0969 |
| 2 | log₂ 0.8 | ≈ −0.3219 |
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