Log Base 5 of 625
Logarithm Calculator
What is log₅ 625?
Answer
log5 625 =
4
log5 is the log base 5.
log5 625 is the power you raise 5 to, to get 625: 5y = 625.
5⁴ = 625 ✓
Answer point (625, 4), 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 625 | ≈ 6.4378 |
| 10 | log 625 | ≈ 2.7959 |
| 2 | log₂ 625 | ≈ 9.2877 |
| 5 | log₅ 625 | 4 |
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 625?
log₅ 625 = 4
How to find log₅ 625 without a calculator?
Write 625 as a power of 5: 625 = 5⁴. The exponent is the answer: log₅ 625 = 4.
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 4 of 64 (log₄ 64)
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- Log Base 5 of 3 (log₅ 3)
- Log Base 5 of 4 (log₅ 4)
- Log Base 5 of 5 (log₅ 5)
- Log Base 5 of 7 (log₅ 7)
- 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 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 8 (log₇ 8)
- 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)
- Логарифм 625 по основанию 5 (log₅ 625)
- Logaritmo en base 5 de 625 (log₅ 625)
- Logaritmo de 625 na base 5 (log₅ 625)