Log of 0.05 (Base 10)
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What is log 0.05?
Answer
log 0.05 ≈
−1.3010
log here is the common log, base 10.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log 0.05 is the power you raise 10 to, to get 0.05: 10y = 0.05.
10⁻² = 1/100 < 0.05 < 1/10 = 10⁻¹, so −2 < log 0.05 < −1
log 0.05 = ln 0.05 / ln 10 ≈ −2.995732 / 2.302585 ≈ −1.3010
Answer point ≈ (0.05, −1.3010).
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 0.05 | ≈ −2.9957 |
| 10 | log 0.05 | ≈ −1.3010 |
| 2 | log₂ 0.05 | ≈ −4.3219 |
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See Also
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