Log Base 4 of 0.0625
Logarithm Calculator
What is log₄ 0.0625?
Answer
log4 0.0625 =
−2
log4 is the log base 4.
log4 0.0625 is the power you raise 4 to, to get 0.0625: 4y = 0.0625.
4⁻² = 1/4² = 1/16 = 0.0625 ✓
Answer point (0.0625, −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.
| Base | Notation | Value |
|---|---|---|
| e | ln 0.0625 | ≈ −2.7726 |
| 10 | log 0.0625 | ≈ −1.2041 |
| 2 | log₂ 0.0625 | −4 |
| 4 | log₄ 0.0625 | −2 |
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 0.0625?
log₄ 0.0625 = −2
How to find log₄ 0.0625 without a calculator?
Write 0.0625 as a power of 4: 0.0625 = 4⁻². The exponent is the answer: log₄ 0.0625 = −2.
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 2 (log₃ 2)
- Log Base 3 of 3 (log₃ 3)
- Log Base 3 of 4 (log₃ 4)
- Log Base 3 of 5 (log₃ 5)
- Log Base 3 of 6 (log₃ 6)
- Log Base 3 of 7 (log₃ 7)
- Log Base 3 of 8 (log₃ 8)
- 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 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 8 (log₄ 8)
- Log Base 4 of 16 (log₄ 16)
- Log Base 4 of 25 (log₄ 25)
- Log Base 4 of 64 (log₄ 64)
- Логарифм 0.0625 по основанию 4 (log₄ 0.0625)
- Logaritmo en base 4 de 0.0625 (log₄ 0.0625)
- Logaritmo de 0.0625 na base 4 (log₄ 0.0625)