Log Base 5 of 3
Logarithm Calculator
What is log₅ 3?
Answer
log5 3 ≈
0.6826
log5 is the log base 5.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log5 3 is the power you raise 5 to, to get 3: 5y = 3.
5⁰ = 1 < 3 < 5 = 5¹, so 0 < log5 3 < 1
log5 3 = ln 3 / ln 5 ≈ 1.098612 / 1.609438 ≈ 0.6826
Answer point ≈ (3, 0.6826).
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.
See Also
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- 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 3?
log₅ 3 ≈ 0.6826
How to calculate log₅ 3 on a calculator?
Divide the natural logs: log₅ 3 = ln 3 / ln 5 ≈ 1.098612 / 1.609438 ≈ 0.6826.
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 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)
- Log Base 5 of 1 (log₅ 1)
- 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 5 of 625 (log₅ 625)
- Log Base 6 of 1 (log₆ 1)
- Log Base 6 of 7 (log₆ 7)
- Логарифм 3 по основанию 5 (log₅ 3)
- Logaritmo en base 5 de 3 (log₅ 3)
- Logaritmo de 3 na base 5 (log₅ 3)