Log Base 8 of 4
Logarithm Calculator
What is log₈ 4?
Answer
log8 4 =
2/3 ≈ 0.6667
log8 is the log base 8.
log8 4 is the power you raise 8 to, to get 4: 8y = 4.
82/3 = (∛8)² = 2² = 4 ✓
Answer point (4, 2/3).
The curve y = log8 x passes through (1, 0) and (8, 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 log₈ 4?
log₈ 4 = 2/3 ≈ 0.6667
Why is log₈ 4 a fraction?
Both numbers are powers of 2: 8 = 2³ and 4 = 2², so 4 = 8^(2/3) and log₈ 4 = 2/3 ≈ 0.6667.
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 5 of 625 (log₅ 625)
- Log Base 6 of 1 (log₆ 1)
- Log Base 6 of 7 (log₆ 7)
- Log Base 6 of 36 (log₆ 36)
- Log Base 7 of 1 (log₇ 1)
- Log Base 7 of 7 (log₇ 7)
- Log Base 7 of 8 (log₇ 8)
- Log Base 7 of 343 (log₇ 343)
- Log Base 8 of 1 (log₈ 1)
- Log Base 8 of 2 (log₈ 2)
- Log Base 8 of 5 (log₈ 5)
- Log Base 9 of 1/81 (log₉(1/81))
- Log Base 9 of 3 (log₉ 3)
- Log Base 9 of 27 (log₉ 27)
- Log of −1 (Base 10)
- Log of −2 (Base 10)
- Log of 0 (Base 10)
- Log of 0.01 (Base 10)
- Log of 0.05 (Base 10)
- Log of 0.1 (Base 10)
- Логарифм 4 по основанию 8 (log₈ 4)
- Logaritmo en base 8 de 4 (log₈ 4)
- Logaritmo de 4 na base 8 (log₈ 4)