Log Base 2 of 3
Logarithm Calculator
What is log₂ 3?
Answer
log2 3 ≈
1.5850
log2 is the log base 2.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log2 3 is the power you raise 2 to, to get 3: 2y = 3.
2¹ = 2 < 3 < 4 = 2², so 1 < log2 3 < 2
log2 3 = ln 3 / ln 2 ≈ 1.098612 / 0.693147 ≈ 1.5850
Answer point ≈ (3, 1.5850).
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 3?
log₂ 3 ≈ 1.5850
How to calculate log₂ 3 on a calculator?
Divide the natural logs: log₂ 3 = ln 3 / ln 2 ≈ 1.098612 / 0.693147 ≈ 1.5850.
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 0.25 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 0.125 (log₂ 0.125)
- 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 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)
- 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 15 (log₂ 15)
- Логарифм 3 по основанию 2 (log₂ 3)
- Logaritmo en base 2 de 3 (log₂ 3)
- Logaritmo de 3 na base 2 (log₂ 3)