Log Base 2 of 32768
Logarithm Calculator
What is log₂ 32,768?
Answer
log2 32,768 =
15
log2 is the log base 2.
log2 32,768 is the power you raise 2 to, to get 32,768: 2y = 32,768.
2¹⁵ = 32,768 ✓
Answer point (32,768, 15), 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 32,768 | ≈ 10.3972 |
| 10 | log 32,768 | ≈ 4.5154 |
| 2 | log₂ 32,768 | 15 |
See Also
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- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
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FAQ
What is log₂ 32,768?
log₂ 32,768 = 15
How to find log₂ 32,768 without a calculator?
Write 32,768 as a power of 2: 32,768 = 2¹⁵. The exponent is the answer: log₂ 32,768 = 15.
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 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 256 (log₂ 256)
- Log Base 2 of 1000 (log₂ 1000)
- Log Base 2 of 1024 (log₂ 1024)
- 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)
- Log Base 3 of 7 (log₃ 7)
- Log Base 3 of 8 (log₃ 8)
- Log Base 3 of 9 (log₃ 9)
- Логарифм 32768 по основанию 2 (log₂ 32768)
- Logaritmo en base 2 de 32768 (log₂ 32768)
- Logaritmo de 32768 na base 2 (log₂ 32768)