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    Log Base 3 of 2

    Logarithm Calculator
    Log base
    x

    What is log₃ 2?

    Answer

    log3 2 ≈
    0.6309

    log3 is the log base 3.

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

    log3 2 is the power you raise 3 to, to get 2: 3y = 2.

    3⁰ = 1 < 2 < 3 = 3¹, so 0 < log3 2 < 1

    log3 2 = ln 2 / ln 3 ≈ 0.693147 / 1.098612 ≈ 0.6309

    Oxy1

    Answer point ≈ (2, 0.6309).

    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 2 in different bases
    BaseNotationValue
    eln 2≈ 0.6931
    10log 2≈ 0.3010
    2log₂ 21
    3log₃ 2≈ 0.6309

    See Also

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    https://calculat.io/en/number/logarithm/3--2Copy
    <a href="https://calculat.io/en/number/logarithm/3--2">Log Base 3 of 2 (log₃ 2) - Calculatio</a>Copy
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    Log Base 3 of 2 (log₃ 2). log₃ 2 ≈ 0.6309: the power you raise 3 to, to get 2. With the check and the graph.
    https://calculat.io/en/number/logarithm/3--2/generated.jpgCopy

    Log base 3 of nearby numbers

    xlog₃ x
    1/9−2
    10
    2≈ 0.6309
    31
    4≈ 1.2619
    5≈ 1.4650
    6≈ 1.6309
    Recalculate with different values ↑

    FAQ

    What is log₃ 2?

    log₃ 2 ≈ 0.6309

    How to calculate log₃ 2 on a calculator?

    Divide the natural logs: log₃ 2 = ln 2 / ln 3 ≈ 0.693147 / 1.098612 ≈ 0.6309.

    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