Log Base 3 of 5
Logarithm Calculator
What is log₃ 5?
Answer
log3 5 ≈
1.4650
log3 is the log base 3.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log3 5 is the power you raise 3 to, to get 5: 3y = 5.
3¹ = 3 < 5 < 9 = 3², so 1 < log3 5 < 2
log3 5 = ln 5 / ln 3 ≈ 1.609438 / 1.098612 ≈ 1.4650
Answer point ≈ (5, 1.4650).
The curve y = log3 x passes through (1, 0) and (3, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
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 log₃ 5?
log₃ 5 ≈ 1.4650
How to calculate log₃ 5 on a calculator?
Divide the natural logs: log₃ 5 = ln 5 / ln 3 ≈ 1.609438 / 1.098612 ≈ 1.4650.
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 2 of 128 (log₂ 128)
- Log Base 2 of 256 (log₂ 256)
- Log Base 2 of 1000 (log₂ 1000)
- Log Base 2 of 1024 (log₂ 1024)
- Log Base 2 of 32768 (log₂ 32768)
- Log Base 3 of 1 (log₃ 1)
- Log Base 3 of 1/9 (log₃(1/9))
- 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 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 0.0625 (log₄ 0.0625)
- Log Base 4 of 1 (log₄ 1)
- Log Base 4 of 2 (log₄ 2)
- Log Base 4 of 3 (log₄ 3)
- Логарифм 5 по основанию 3 (log₃ 5)
- Logaritmo en base 3 de 5 (log₃ 5)
- Logaritmo de 5 na base 3 (log₃ 5)