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    Log Base 2 of 5

    Logarithm Calculator
    Log base
    x

    What is log₂ 5?

    Answer

    log2 5 ≈
    2.3219

    log2 is the log base 2.

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

    log2 5 is the power you raise 2 to, to get 5: 2y = 5.

    2² = 4 < 5 < 8 = 2³, so 2 < log2 5 < 3

    log2 5 = ln 5 / ln 2 ≈ 1.609438 / 0.693147 ≈ 2.3219

    Oxy1

    Answer point ≈ (5, 2.3219).

    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 5 in different bases
    BaseNotationValue
    eln 5≈ 1.6094
    10log 5≈ 0.6990
    2log₂ 5≈ 2.3219

    See Also

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    https://calculat.io/en/number/logarithm/2--5Copy
    <a href="https://calculat.io/en/number/logarithm/2--5">Log Base 2 of 5 (log₂ 5) - Calculatio</a>Copy
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    Log Base 2 of 5 (log₂ 5). log₂ 5 ≈ 2.3219: the power you raise 2 to, to get 5. With the check and the graph.
    https://calculat.io/en/number/logarithm/2--5/generated.jpgCopy

    Log base 2 of nearby numbers

    xlog₂ x
    21
    3≈ 1.5850
    42
    5≈ 2.3219
    6≈ 2.5850
    7≈ 2.8074
    83
    Recalculate with different values ↑

    FAQ

    What is log₂ 5?

    log₂ 5 ≈ 2.3219

    How to calculate log₂ 5 on a calculator?

    Divide the natural logs: log₂ 5 = ln 5 / ln 2 ≈ 1.609438 / 0.693147 ≈ 2.3219.

    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