Log Base 4 of 8
Logarithm Calculator
What is log₄ 8?
Answer
log4 8 =
3/2 = 1.5
log4 is the log base 4.
log4 8 is the power you raise 4 to, to get 8: 4y = 8.
43/2 = (√4)³ = 2³ = 8 ✓
Answer point (8, 3/2).
The curve y = log4 x passes through (1, 0) and (4, 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 log₄ 8?
log₄ 8 = 3/2 = 1.5
Why is log₄ 8 a fraction?
Both numbers are powers of 2: 4 = 2² and 8 = 2³, so 8 = 4^(3/2) and log₄ 8 = 3/2 = 1.5.
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 3 of 9 (log₃ 9)
- Log Base 3 of 27 (log₃ 27)
- Log Base 3 of 81 (log₃ 81)
- Log Base 4 of 0.0625 (log₄ 0.0625)
- Log Base 4 of 1 (log₄ 1)
- Log Base 4 of 2 (log₄ 2)
- Log Base 4 of 3 (log₄ 3)
- Log Base 4 of 4 (log₄ 4)
- Log Base 4 of 5 (log₄ 5)
- Log Base 4 of 6 (log₄ 6)
- Log Base 4 of 16 (log₄ 16)
- Log Base 4 of 25 (log₄ 25)
- Log Base 4 of 64 (log₄ 64)
- Log Base 5 of 1 (log₅ 1)
- Log Base 5 of 3 (log₅ 3)
- Log Base 5 of 4 (log₅ 4)
- Log Base 5 of 5 (log₅ 5)
- Log Base 5 of 7 (log₅ 7)
- Log Base 5 of 9 (log₅ 9)
- Log Base 5 of 10 (log₅ 10)
- Логарифм 8 по основанию 4 (log₄ 8)
- Logaritmo en base 4 de 8 (log₄ 8)
- Logaritmo de 8 na base 4 (log₄ 8)