Log Base 2 of 0.125
Logarithm Calculator
What is log₂ 0.125?
Answer
log2 0.125 =
−3
log2 is the log base 2.
log2 0.125 is the power you raise 2 to, to get 0.125: 2y = 0.125.
2⁻³ = 1/2³ = 1/8 = 0.125 ✓
Answer point (0.125, −3).
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 0.125 | ≈ −2.0794 |
| 10 | log 0.125 | ≈ −0.9031 |
| 2 | log₂ 0.125 | −3 |
See Also
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
Log base 2 of nearby numbers
FAQ
What is log₂ 0.125?
log₂ 0.125 = −3
How to find log₂ 0.125 without a calculator?
Write 0.125 as a power of 2: 0.125 = 2⁻³. The exponent is the answer: log₂ 0.125 = −3.
What does log without a base mean?
At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.
See Also
- Log Base 0.5 of 4
- Log Base 0.5 of 8
- Log Base 0.5 of 16
- Log Base 0.5 of 32
- Log Base 0.25 of 8
- Log Base 2 of −1 (log₂(−1))
- Log Base 2 of 0 (log₂ 0)
- Log Base 2 of 0.5 (log₂ 0.5)
- Log Base 2 of 0.25 (log₂ 0.25)
- Log Base 2 of 1 (log₂ 1)
- Log Base 2 of 1/3 (log₂(1/3))
- Log Base 2 of 1/6 (log₂(1/6))
- Log Base 2 of 2 (log₂ 2)
- Log Base 2 of 3 (log₂ 3)
- Log Base 2 of 4 (log₂ 4)
- Log Base 2 of 5 (log₂ 5)
- Log Base 2 of 6 (log₂ 6)
- Log Base 2 of 7 (log₂ 7)
- Log Base 2 of 8 (log₂ 8)
- Логарифм 0.125 по основанию 2 (log₂ 0.125)
- Logaritmo en base 2 de 0.125 (log₂ 0.125)
- Logaritmo de 0.125 na base 2 (log₂ 0.125)