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    Log Base 2 of 15

    Logarithm Calculator
    Log base
    x

    What is log₂ 15?

    Answer

    log2 15 ≈
    3.9069

    log2 is the log base 2.

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

    log2 15 is the power you raise 2 to, to get 15: 2y = 15.

    2³ = 8 < 15 < 16 = 2⁴, so 3 < log2 15 < 4

    log2 15 = ln 15 / ln 2 ≈ 2.708050 / 0.693147 ≈ 3.9069

    Oxy

    Answer point ≈ (15, 3.9069).

    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 15 in different bases
    BaseNotationValue
    eln 15≈ 2.7081
    10log 15≈ 1.1761
    2log₂ 15≈ 3.9069

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    https://calculat.io/en/number/logarithm/2--15Copy
    <a href="https://calculat.io/en/number/logarithm/2--15">Log Base 2 of 15 (log₂ 15) - Calculatio</a>Copy
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    Log Base 2 of 15 (log₂ 15). log₂ 15 ≈ 3.9069: the power you raise 2 to, to get 15. With the check and the graph.
    https://calculat.io/en/number/logarithm/2--15/generated.jpgCopy

    Log base 2 of nearby numbers

    xlog₂ x
    10≈ 3.3219
    11≈ 3.4594
    12≈ 3.5850
    15≈ 3.9069
    164
    27≈ 4.7549
    325
    Recalculate with different values ↑

    FAQ

    What is log₂ 15?

    log₂ 15 ≈ 3.9069

    How to calculate log₂ 15 on a calculator?

    Divide the natural logs: log₂ 15 = ln 15 / ln 2 ≈ 2.708050 / 0.693147 ≈ 3.9069.

    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