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    Natural Log of 4

    Logarithm Calculator
    Log base
    x

    What is ln 4?

    Answer

    ln 4 ≈
    1.3863

    ln is the natural log, base e ≈ 2.71828.

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

    ln 4 is the power you raise e ≈ 2.71828 to, to get 4: ey = 4.

    e¹ ≈ 2.7183 < 4 < e² ≈ 7.3891, so 1 < ln 4 < 2

    Oxy1

    Answer point ≈ (4, 1.3863).

    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 4 in different bases
    BaseNotationValue
    eln 4≈ 1.3863
    10log 4≈ 0.6021
    2log₂ 42

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    Natural Log of 4 (ln 4). ln 4 ≈ 1.3863: the power you raise e to, to get 4. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--4/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    2≈ 0.6931
    e1
    3≈ 1.0986
    4≈ 1.3863
    5≈ 1.6094
    6≈ 1.7918
    7≈ 1.9459
    Recalculate with different values ↑

    FAQ

    What is ln 4?

    ln 4 ≈ 1.3863

    What is the difference between ln 4 and log 4?

    ln 4 is the logarithm to base e, log 4 is to base 10: ln 4 ≈ 1.3863, log 4 ≈ 0.6021. One is the other divided by ln 10: log 4 = ln 4 / ln 10 ≈ 0.6021.

    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