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    Log Base 3 of 8

    Logarithm Calculator
    Log base
    x

    What is log₃ 8?

    Answer

    log3 8 ≈
    1.8928

    log3 is the log base 3.

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

    log3 8 is the power you raise 3 to, to get 8: 3y = 8.

    3¹ = 3 < 8 < 9 = 3², so 1 < log3 8 < 2

    log3 8 = ln 8 / ln 3 ≈ 2.079442 / 1.098612 ≈ 1.8928

    Oxy1

    Answer point ≈ (8, 1.8928).

    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 8 in different bases
    BaseNotationValue
    eln 8≈ 2.0794
    10log 8≈ 0.9031
    2log₂ 83
    3log₃ 8≈ 1.8928

    See Also

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    https://calculat.io/en/number/logarithm/3--8Copy
    <a href="https://calculat.io/en/number/logarithm/3--8">Log Base 3 of 8 (log₃ 8) - Calculatio</a>Copy
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    Log Base 3 of 8 (log₃ 8). log₃ 8 ≈ 1.8928: the power you raise 3 to, to get 8. With the check and the graph.
    https://calculat.io/en/number/logarithm/3--8/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 8?

    log₃ 8 ≈ 1.8928

    How to calculate log₃ 8 on a calculator?

    Divide the natural logs: log₃ 8 = ln 8 / ln 3 ≈ 2.079442 / 1.098612 ≈ 1.8928.

    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