Log Base 7 of 8
Logarithm Calculator
What is log₇ 8?
Answer
log7 8 ≈
1.0686
log7 is the log base 7.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log7 8 is the power you raise 7 to, to get 8: 7y = 8.
7¹ = 7 < 8 < 49 = 7², so 1 < log7 8 < 2
log7 8 = ln 8 / ln 7 ≈ 2.079442 / 1.945910 ≈ 1.0686
Answer point ≈ (8, 1.0686).
The curve y = log7 x passes through (1, 0) and (7, 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 log₇ 8?
log₇ 8 ≈ 1.0686
How to calculate log₇ 8 on a calculator?
Divide the natural logs: log₇ 8 = ln 8 / ln 7 ≈ 2.079442 / 1.945910 ≈ 1.0686.
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 9 (log₅ 9)
- Log Base 5 of 10 (log₅ 10)
- Log Base 5 of 25 (log₅ 25)
- Log Base 5 of 125 (log₅ 125)
- 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 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 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)
- Логарифм 8 по основанию 7 (log₇ 8)
- Logaritmo en base 7 de 8 (log₇ 8)
- Logaritmo de 8 na base 7 (log₇ 8)