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    Natural Log of 3

    Logarithm Calculator
    Log base
    x

    What is ln 3?

    Answer

    ln 3 ≈
    1.0986

    ln is the natural log, base e ≈ 2.71828.

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

    ln 3 is the power you raise e ≈ 2.71828 to, to get 3: ey = 3.

    e¹ ≈ 2.7183 < 3 < e² ≈ 7.3891, so 1 < ln 3 < 2

    Oxy1

    Answer point ≈ (3, 1.0986).

    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 3 in different bases
    BaseNotationValue
    eln 3≈ 1.0986
    10log 3≈ 0.4771
    2log₂ 3≈ 1.5850

    See Also

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    Natural Log of 3 (ln 3). ln 3 ≈ 1.0986: the power you raise e to, to get 3. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--3/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    1.5≈ 0.4055
    2≈ 0.6931
    e1
    3≈ 1.0986
    4≈ 1.3863
    5≈ 1.6094
    6≈ 1.7918
    Recalculate with different values ↑

    FAQ

    What is ln 3?

    ln 3 ≈ 1.0986

    What is the difference between ln 3 and log 3?

    ln 3 is the logarithm to base e, log 3 is to base 10: ln 3 ≈ 1.0986, log 3 ≈ 0.4771. One is the other divided by ln 10: log 3 = ln 3 / ln 10 ≈ 0.4771.

    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