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    Log Base 4 of 5

    Logarithm Calculator
    Log base
    x

    What is log₄ 5?

    Answer

    log4 5 ≈
    1.1610

    log4 is the log base 4.

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

    log4 5 is the power you raise 4 to, to get 5: 4y = 5.

    4¹ = 4 < 5 < 16 = 4², so 1 < log4 5 < 2

    log4 5 = ln 5 / ln 4 ≈ 1.609438 / 1.386294 ≈ 1.1610

    Oxy1

    Answer point ≈ (5, 1.1610).

    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 5 in different bases
    BaseNotationValue
    eln 5≈ 1.6094
    10log 5≈ 0.6990
    2log₂ 5≈ 2.3219
    4log₄ 5≈ 1.1610

    See Also

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    https://calculat.io/en/number/logarithm/4--5Copy
    <a href="https://calculat.io/en/number/logarithm/4--5">Log Base 4 of 5 (log₄ 5) - Calculatio</a>Copy
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    Log Base 4 of 5 (log₄ 5). log₄ 5 ≈ 1.1610: the power you raise 4 to, to get 5. With the check and the graph.
    https://calculat.io/en/number/logarithm/4--5/generated.jpgCopy

    Log base 4 of nearby numbers

    xlog₄ x
    21/2
    3≈ 0.7925
    41
    5≈ 1.1610
    6≈ 1.2925
    83/2
    162
    Recalculate with different values ↑

    FAQ

    What is log₄ 5?

    log₄ 5 ≈ 1.1610

    How to calculate log₄ 5 on a calculator?

    Divide the natural logs: log₄ 5 = ln 5 / ln 4 ≈ 1.609438 / 1.386294 ≈ 1.1610.

    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