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    Log Base 2 of 27

    Logarithm Calculator
    Log base
    x

    What is log₂ 27?

    Answer

    log2 27 ≈
    4.7549

    log2 is the log base 2.

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

    log2 27 is the power you raise 2 to, to get 27: 2y = 27.

    2⁴ = 16 < 27 < 32 = 2⁵, so 4 < log2 27 < 5

    log2 27 = ln 27 / ln 2 ≈ 3.295837 / 0.693147 ≈ 4.7549

    Oxy

    Answer point ≈ (27, 4.7549).

    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 27 in different bases
    BaseNotationValue
    eln 27≈ 3.2958
    10log 27≈ 1.4314
    2log₂ 27≈ 4.7549

    See Also

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    https://calculat.io/en/number/logarithm/2--27Copy
    <a href="https://calculat.io/en/number/logarithm/2--27">Log Base 2 of 27 (log₂ 27) - Calculatio</a>Copy
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    Log Base 2 of 27 (log₂ 27). log₂ 27 ≈ 4.7549: the power you raise 2 to, to get 27. With the check and the graph.
    https://calculat.io/en/number/logarithm/2--27/generated.jpgCopy

    Log base 2 of nearby numbers

    xlog₂ x
    12≈ 3.5850
    15≈ 3.9069
    164
    27≈ 4.7549
    325
    646
    100≈ 6.6439
    Recalculate with different values ↑

    FAQ

    What is log₂ 27?

    log₂ 27 ≈ 4.7549

    How to calculate log₂ 27 on a calculator?

    Divide the natural logs: log₂ 27 = ln 27 / ln 2 ≈ 3.295837 / 0.693147 ≈ 4.7549.

    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