Log of 1.6 (Base 10)
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What is log 1.6?
Answer
log 1.6 ≈
0.2041
log here is the common log, base 10.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log 1.6 is the power you raise 10 to, to get 1.6: 10y = 1.6.
10⁰ = 1 < 1.6 < 10 = 10¹, so 0 < log 1.6 < 1
log 1.6 = ln 1.6 / ln 10 ≈ 0.470004 / 2.302585 ≈ 0.2041
Answer point ≈ (1.6, 0.2041).
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 1.6 | ≈ 0.4700 |
| 10 | log 1.6 | ≈ 0.2041 |
| 2 | log₂ 1.6 | ≈ 0.6781 |
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