Log Base 8 of 5
Logarithm Calculator
What is log₈ 5?
Answer
log8 5 ≈
0.7740
log8 is the log base 8.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log8 5 is the power you raise 8 to, to get 5: 8y = 5.
8⁰ = 1 < 5 < 8 = 8¹, so 0 < log8 5 < 1
log8 5 = ln 5 / ln 8 ≈ 1.609438 / 2.079442 ≈ 0.7740
Answer point ≈ (5, 0.7740).
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 5?
log₈ 5 ≈ 0.7740
How to calculate log₈ 5 on a calculator?
Divide the natural logs: log₈ 5 = ln 5 / ln 8 ≈ 1.609438 / 2.079442 ≈ 0.7740.
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 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 4 (log₈ 4)
- 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)
- Log of 0.3 (Base 10)
- Логарифм 5 по основанию 8 (log₈ 5)
- Logaritmo en base 8 de 5 (log₈ 5)
- Logaritmo de 5 na base 8 (log₈ 5)