Log Base 9 of 1/81
Logarithm Calculator
What is log₉(1/81)?
Answer
log9(1/81) =
−2
log9 is the log base 9.
log9(1/81) is the power you raise 9 to, to get 1/81: 9y = 1/81.
9⁻² = 1/9² = 1/81 ✓
Answer point (1/81, −2).
The curve y = log9 x passes through (1, 0) and (9, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
| Base | Notation | Value |
|---|---|---|
| e | ln(1/81) | ≈ −4.3944 |
| 10 | log(1/81) | ≈ −1.9085 |
| 2 | log₂(1/81) | ≈ −6.3399 |
| 9 | log₉(1/81) | −2 |
See Also
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FAQ
What is log₉(1/81)?
log₉(1/81) = −2
How to find log₉(1/81) without a calculator?
Write 1/81 as a power of 9: 1/81 = 9⁻². The exponent is the answer: log₉(1/81) = −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 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)
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- 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 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)
- Log of 0.8 (Base 10)
- Логарифм 1/81 по основанию 9 (log₉(1/81))
- Logaritmo en base 9 de 1/81 (log₉(1/81))
- Logaritmo de 1/81 na base 9 (log₉(1/81))