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    Log Base 4 of 2

    Logarithm Calculator
    Log base
    x

    What is log₄ 2?

    Answer

    log4 2 =
    1/2 = 0.5

    log4 is the log base 4.

    log4 2 is the power you raise 4 to, to get 2: 4y = 2.

    41/2 = √4 = 2 ✓

    Oxy1

    Answer point (2, 1/2).

    The curve y = log4 x passes through (1, 0) and (4, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

    Log of 2 in different bases
    BaseNotationValue
    eln 2≈ 0.6931
    10log 2≈ 0.3010
    2log₂ 21
    4log₄ 21/2

    See Also

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    https://calculat.io/en/number/logarithm/4--2Copy
    <a href="https://calculat.io/en/number/logarithm/4--2">Log Base 4 of 2 (log₄ 2) - Calculatio</a>Copy
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    Log Base 4 of 2 (log₄ 2). log₄ 2 = 1/2 = 0.5: the power you raise 4 to, to get 2. With the check and the graph.
    https://calculat.io/en/number/logarithm/4--2/generated.jpgCopy

    Log base 4 of nearby numbers

    xlog₄ x
    0.0625−2
    10
    21/2
    3≈ 0.7925
    41
    5≈ 1.1610
    6≈ 1.2925
    Recalculate with different values ↑

    FAQ

    What is log₄ 2?

    log₄ 2 = 1/2 = 0.5

    Why is log₄ 2 a fraction?

    Both numbers are powers of 2: 4 = 2² and 2 = 2¹, so 2 = 4^(1/2) and log₄ 2 = 1/2 = 0.5.

    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