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    Log Base 5 of 3

    Logarithm Calculator
    Log base
    x

    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

    Oxy1

    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.

    Log of 3 in different bases
    BaseNotationValue
    eln 3≈ 1.0986
    10log 3≈ 0.4771
    2log₂ 3≈ 1.5850
    5log₅ 3≈ 0.6826

    See Also

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    https://calculat.io/en/number/logarithm/5--3Copy
    <a href="https://calculat.io/en/number/logarithm/5--3">Log Base 5 of 3 (log₅ 3) - Calculatio</a>Copy
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    Log Base 5 of 3 (log₅ 3). log₅ 3 ≈ 0.6826: the power you raise 5 to, to get 3. With the check and the graph.
    https://calculat.io/en/number/logarithm/5--3/generated.jpgCopy

    Log base 5 of nearby numbers

    xlog₅ x
    10
    3≈ 0.6826
    4≈ 0.8614
    51
    7≈ 1.2091
    9≈ 1.3652
    10≈ 1.4307
    Recalculate with different values ↑

    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