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    Log Base 5 of 9

    Logarithm Calculator
    Log base
    x

    What is log₅ 9?

    Answer

    log5 9 ≈
    1.3652

    log5 is the log base 5.

    ≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

    log5 9 is the power you raise 5 to, to get 9: 5y = 9.

    5¹ = 5 < 9 < 25 = 5², so 1 < log5 9 < 2

    log5 9 = ln 9 / ln 5 ≈ 2.197225 / 1.609438 ≈ 1.3652

    Oxy

    Answer point ≈ (9, 1.3652).

    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 9 in different bases
    BaseNotationValue
    eln 9≈ 2.1972
    10log 9≈ 0.9542
    2log₂ 9≈ 3.1699
    5log₅ 9≈ 1.3652

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    https://calculat.io/en/number/logarithm/5--9Copy
    <a href="https://calculat.io/en/number/logarithm/5--9">Log Base 5 of 9 (log₅ 9) - Calculatio</a>Copy
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    Log Base 5 of 9 (log₅ 9). log₅ 9 ≈ 1.3652: the power you raise 5 to, to get 9. With the check and the graph.
    https://calculat.io/en/number/logarithm/5--9/generated.jpgCopy

    Log base 5 of nearby numbers

    xlog₅ x
    4≈ 0.8614
    51
    7≈ 1.2091
    9≈ 1.3652
    10≈ 1.4307
    252
    1253
    Recalculate with different values ↑

    FAQ

    What is log₅ 9?

    log₅ 9 ≈ 1.3652

    How to calculate log₅ 9 on a calculator?

    Divide the natural logs: log₅ 9 = ln 9 / ln 5 ≈ 2.197225 / 1.609438 ≈ 1.3652.

    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