Log Base 2 of 1/6
Logarithm Calculator
What is log₂(1/6)?
Answer
log2(1/6) ≈
−2.5850
log2 is the log base 2.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log2(1/6) is the power you raise 2 to, to get 1/6: 2y = 1/6.
2⁻³ = 1/8 < 1/6 < 1/4 = 2⁻², so −3 < log2(1/6) < −2
log2(1/6) = ln(1/6) / ln 2 ≈ −1.791759 / 0.693147 ≈ −2.5850
Answer point ≈ (1/6, −2.5850).
The curve y = log2 x passes through (1, 0) and (2, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
| Base | Notation | Value |
|---|---|---|
| e | ln(1/6) | ≈ −1.7918 |
| 10 | log(1/6) | ≈ −0.7782 |
| 2 | log₂(1/6) | ≈ −2.5850 |
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