Log Base 2 of 256
Logarithm Calculator
What is log₂ 256?
Answer
log2 256 =
8
log2 is the log base 2.
log2 256 is the power you raise 2 to, to get 256: 2y = 256.
2⁸ = 256 ✓
Answer point (256, 8), beyond the drawing (the arrow points to it).
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 256 | ≈ 5.5452 |
| 10 | log 256 | ≈ 2.4082 |
| 2 | log₂ 256 | 8 |
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
FAQ
What is log₂ 256?
log₂ 256 = 8
How to find log₂ 256 without a calculator?
Write 256 as a power of 2: 256 = 2⁸. The exponent is the answer: log₂ 256 = 8.
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 2 of 10 (log₂ 10)
- Log Base 2 of 11 (log₂ 11)
- Log Base 2 of 12 (log₂ 12)
- Log Base 2 of 15 (log₂ 15)
- Log Base 2 of 16 (log₂ 16)
- Log Base 2 of 27 (log₂ 27)
- Log Base 2 of 32 (log₂ 32)
- Log Base 2 of 64 (log₂ 64)
- Log Base 2 of 100 (log₂ 100)
- Log Base 2 of 128 (log₂ 128)
- Log Base 2 of 1000 (log₂ 1000)
- Log Base 2 of 1024 (log₂ 1024)
- Log Base 2 of 32768 (log₂ 32768)
- Log Base 3 of 1 (log₃ 1)
- Log Base 3 of 1/9 (log₃(1/9))
- Log Base 3 of 2 (log₃ 2)
- Log Base 3 of 3 (log₃ 3)
- Log Base 3 of 4 (log₃ 4)
- Log Base 3 of 5 (log₃ 5)
- Log Base 3 of 6 (log₃ 6)
- Логарифм 256 по основанию 2 (log₂ 256)
- Logaritmo en base 2 de 256 (log₂ 256)
- Logaritmo de 256 na base 2 (log₂ 256)