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    Log Base 3 of 4

    Logarithm Calculator
    Log base
    x

    What is log₃ 4?

    Answer

    log3 4 ≈
    1.2619

    log3 is the log base 3.

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

    log3 4 is the power you raise 3 to, to get 4: 3y = 4.

    3¹ = 3 < 4 < 9 = 3², so 1 < log3 4 < 2

    log3 4 = ln 4 / ln 3 ≈ 1.386294 / 1.098612 ≈ 1.2619

    Oxy1

    Answer point ≈ (4, 1.2619).

    The curve y = log3 x passes through (1, 0) and (3, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

    Log of 4 in different bases
    BaseNotationValue
    eln 4≈ 1.3863
    10log 4≈ 0.6021
    2log₂ 42
    3log₃ 4≈ 1.2619

    See Also

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    https://calculat.io/en/number/logarithm/3--4Copy
    <a href="https://calculat.io/en/number/logarithm/3--4">Log Base 3 of 4 (log₃ 4) - Calculatio</a>Copy
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    Log Base 3 of 4 (log₃ 4). log₃ 4 ≈ 1.2619: the power you raise 3 to, to get 4. With the check and the graph.
    https://calculat.io/en/number/logarithm/3--4/generated.jpgCopy

    Log base 3 of nearby numbers

    xlog₃ x
    10
    2≈ 0.6309
    31
    4≈ 1.2619
    5≈ 1.4650
    6≈ 1.6309
    7≈ 1.7712
    Recalculate with different values ↑

    FAQ

    What is log₃ 4?

    log₃ 4 ≈ 1.2619

    How to calculate log₃ 4 on a calculator?

    Divide the natural logs: log₃ 4 = ln 4 / ln 3 ≈ 1.386294 / 1.098612 ≈ 1.2619.

    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