Log Base 0.25 of 8
Logarithm Calculator
What is log base 0.25 of 8?
Answer
log0.25 8 =
−3/2 = −1.5
log0.25 is the log base 0.25.
log0.25 8 is the power you raise 0.25 to, to get 8: 0.25y = 8.
0.25−3/2 = (√0.25)⁻³ = 0.5⁻³ = 2³ = 8 ✓
Answer point (8, −3/2).
The curve y = log0.25 x passes through (1, 0) and (0.25, 1) and falls: for x > 1 the log is negative, for 0 < x < 1 positive.
See Also
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- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
Log base 0.25 of nearby numbers
| x | log₀.₂₅ x |
|---|---|
| 8 | −3/2 |
FAQ
What is log base 0.25 of 8?
log base 0.25 of 8 = −3/2 = −1.5
Why is log base 0.25 of 8 a fraction?
Both numbers are powers of 0.5: 0.25 = 0.5² and 8 = 0.5⁻³, so 8 = 0.25^(−3/2) and log base 0.25 of 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 0.5 of 4
- Log Base 0.5 of 8
- Log Base 0.5 of 16
- Log Base 0.5 of 32
- 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 3 (log₂ 3)
- Логарифм 8 по основанию 0.25
- Logaritmo en base 0.25 de 8
- Logaritmo de 8 na base 0.25