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    Natural Log of 2

    Logarithm Calculator
    Log base
    x

    What is ln 2?

    Answer

    ln 2 ≈
    0.6931

    ln is the natural log, base e ≈ 2.71828.

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

    ln 2 is the power you raise e ≈ 2.71828 to, to get 2: ey = 2.

    e⁰ = 1 < 2 < e¹ ≈ 2.7183, so 0 < ln 2 < 1

    Oxy1

    Answer point ≈ (2, 0.6931).

    The curve y = ln x passes through (1, 0) and (e, 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

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    Natural Log of 2 (ln 2). ln 2 ≈ 0.6931: the power you raise e to, to get 2. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--2/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    10
    1.05≈ 0.0488
    1.5≈ 0.4055
    2≈ 0.6931
    e1
    3≈ 1.0986
    4≈ 1.3863
    Recalculate with different values ↑

    FAQ

    What is ln 2?

    ln 2 ≈ 0.6931

    What is the difference between ln 2 and log 2?

    ln 2 is the logarithm to base e, log 2 is to base 10: ln 2 ≈ 0.6931, log 2 ≈ 0.3010. One is the other divided by ln 10: log 2 = ln 2 / ln 10 ≈ 0.3010.

    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