Log Base 2 of 15
Logarithm Calculator
What is log₂ 15?
Answer
log2 15 ≈
3.9069
log2 is the log base 2.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log2 15 is the power you raise 2 to, to get 15: 2y = 15.
2³ = 8 < 15 < 16 = 2⁴, so 3 < log2 15 < 4
log2 15 = ln 15 / ln 2 ≈ 2.708050 / 0.693147 ≈ 3.9069
Answer point ≈ (15, 3.9069).
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.
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 15?
log₂ 15 ≈ 3.9069
How to calculate log₂ 15 on a calculator?
Divide the natural logs: log₂ 15 = ln 15 / ln 2 ≈ 2.708050 / 0.693147 ≈ 3.9069.
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 3 (log₂ 3)
- Log Base 2 of 4 (log₂ 4)
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- Log Base 2 of 6 (log₂ 6)
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- Log Base 2 of 8 (log₂ 8)
- Log Base 2 of 9 (log₂ 9)
- 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 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 2 of 32768 (log₂ 32768)
- Логарифм 15 по основанию 2 (log₂ 15)
- Logaritmo en base 2 de 15 (log₂ 15)
- Logaritmo de 15 na base 2 (log₂ 15)