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    Log Base 3 of 81

    Logarithm Calculator
    Log base
    x

    What is log₃ 81?

    Answer

    log3 81 =
    4

    log3 is the log base 3.

    log3 81 is the power you raise 3 to, to get 81: 3y = 81.

    3⁴ = 81 ✓

    Oxy

    Answer point (81, 4).

    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 81 in different bases
    BaseNotationValue
    eln 81≈ 4.3944
    10log 81≈ 1.9085
    2log₂ 81≈ 6.3399
    3log₃ 814

    See Also

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    https://calculat.io/en/number/logarithm/3--81Copy
    <a href="https://calculat.io/en/number/logarithm/3--81">Log Base 3 of 81 (log₃ 81) - Calculatio</a>Copy
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    Log Base 3 of 81 (log₃ 81). log₃ 81 = 4: the power you raise 3 to, to get 81. With the check and the graph.
    https://calculat.io/en/number/logarithm/3--81/generated.jpgCopy

    Log base 3 of nearby numbers

    xlog₃ x
    5≈ 1.4650
    6≈ 1.6309
    7≈ 1.7712
    8≈ 1.8928
    92
    273
    814
    Recalculate with different values ↑

    FAQ

    What is log₃ 81?

    log₃ 81 = 4

    How to find log₃ 81 without a calculator?

    Write 81 as a power of 3: 81 = 3⁴. The exponent is the answer: log₃ 81 = 4.

    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