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    Log Base 2 of 9

    Logarithm Calculator
    Log base
    x

    What is log₂ 9?

    Answer

    log2 9 ≈
    3.1699

    log2 is the log base 2.

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

    log2 9 is the power you raise 2 to, to get 9: 2y = 9.

    2³ = 8 < 9 < 16 = 2⁴, so 3 < log2 9 < 4

    log2 9 = ln 9 / ln 2 ≈ 2.197225 / 0.693147 ≈ 3.1699

    Oxy

    Answer point ≈ (9, 3.1699).

    The curve y = log2 x passes through (1, 0) and (2, 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

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    <a href="https://calculat.io/en/number/logarithm/2--9">Log Base 2 of 9 (log₂ 9) - Calculatio</a>Copy
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    Log Base 2 of 9 (log₂ 9). log₂ 9 ≈ 3.1699: the power you raise 2 to, to get 9. With the check and the graph.
    https://calculat.io/en/number/logarithm/2--9/generated.jpgCopy

    Log base 2 of nearby numbers

    xlog₂ x
    6≈ 2.5850
    7≈ 2.8074
    83
    9≈ 3.1699
    10≈ 3.3219
    11≈ 3.4594
    12≈ 3.5850
    Recalculate with different values ↑

    FAQ

    What is log₂ 9?

    log₂ 9 ≈ 3.1699

    How to calculate log₂ 9 on a calculator?

    Divide the natural logs: log₂ 9 = ln 9 / ln 2 ≈ 2.197225 / 0.693147 ≈ 3.1699.

    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