Log Base 5 of 125
Logarithm Calculator
What is log₅ 125?
Answer
log5 125 =
3
log5 is the log base 5.
log5 125 is the power you raise 5 to, to get 125: 5y = 125.
5³ = 125 ✓
Answer point (125, 3), beyond the drawing (the arrow points to it).
The curve y = log5 x passes through (1, 0) and (5, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
| Base | Notation | Value |
|---|---|---|
| e | ln 125 | ≈ 4.8283 |
| 10 | log 125 | ≈ 2.0969 |
| 2 | log₂ 125 | ≈ 6.9658 |
| 5 | log₅ 125 | 3 |
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 log₅ 125?
log₅ 125 = 3
How to find log₅ 125 without a calculator?
Write 125 as a power of 5: 125 = 5³. The exponent is the answer: log₅ 125 = 3.
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
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- Log Base 8 of 1 (log₈ 1)
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- Логарифм 125 по основанию 5 (log₅ 125)
- Logaritmo en base 5 de 125 (log₅ 125)
- Logaritmo de 125 na base 5 (log₅ 125)