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    Log Base 4 of 25

    Logarithm Calculator
    Log base
    x

    What is log₄ 25?

    Answer

    log4 25 ≈
    2.3219

    log4 is the log base 4.

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

    log4 25 is the power you raise 4 to, to get 25: 4y = 25.

    4² = 16 < 25 < 64 = 4³, so 2 < log4 25 < 3

    log4 25 = ln 25 / ln 4 ≈ 3.218876 / 1.386294 ≈ 2.3219

    Oxy

    Answer point ≈ (25, 2.3219).

    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 25 in different bases
    BaseNotationValue
    eln 25≈ 3.2189
    10log 25≈ 1.3979
    2log₂ 25≈ 4.6439
    4log₄ 25≈ 2.3219

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    https://calculat.io/en/number/logarithm/4--25Copy
    <a href="https://calculat.io/en/number/logarithm/4--25">Log Base 4 of 25 (log₄ 25) - Calculatio</a>Copy
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    Log Base 4 of 25 (log₄ 25). log₄ 25 ≈ 2.3219: the power you raise 4 to, to get 25. With the check and the graph.
    https://calculat.io/en/number/logarithm/4--25/generated.jpgCopy

    Log base 4 of nearby numbers

    xlog₄ x
    41
    5≈ 1.1610
    6≈ 1.2925
    83/2
    162
    25≈ 2.3219
    643
    Recalculate with different values ↑

    FAQ

    What is log₄ 25?

    log₄ 25 ≈ 2.3219

    How to calculate log₄ 25 on a calculator?

    Divide the natural logs: log₄ 25 = ln 25 / ln 4 ≈ 3.218876 / 1.386294 ≈ 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