Log Base 2 of 1000
Logarithm Calculator
What is log₂ 1,000?
Answer
log2 1,000 ≈
9.9658
log2 is the log base 2.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log2 1,000 is the power you raise 2 to, to get 1,000: 2y = 1,000.
2⁹ = 512 < 1,000 < 1,024 = 2¹⁰, so 9 < log2 1,000 < 10
log2 1,000 = ln 1,000 / ln 2 ≈ 6.907755 / 0.693147 ≈ 9.9658
Answer point ≈ (1,000, 9.9658), 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.
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 1,000?
log₂ 1,000 ≈ 9.9658
How to calculate log₂ 1,000 on a calculator?
Divide the natural logs: log₂ 1,000 = ln 1,000 / ln 2 ≈ 6.907755 / 0.693147 ≈ 9.9658.
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 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 256 (log₂ 256)
- 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)
- Log Base 3 of 7 (log₃ 7)
- Логарифм 1000 по основанию 2 (log₂ 1000)
- Logaritmo en base 2 de 1000 (log₂ 1000)
- Logaritmo de 1000 na base 2 (log₂ 1000)