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    Natural Log of 16

    Logarithm Calculator
    Log base
    x

    What is ln 16?

    Answer

    ln 16 ≈
    2.7726

    ln is the natural log, base e ≈ 2.71828.

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

    ln 16 is the power you raise e ≈ 2.71828 to, to get 16: ey = 16.

    e² ≈ 7.3891 < 16 < e³ ≈ 20.0855, so 2 < ln 16 < 3

    Oxy

    Answer point ≈ (16, 2.7726).

    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 16 in different bases
    BaseNotationValue
    eln 16≈ 2.7726
    10log 16≈ 1.2041
    2log₂ 164

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    Natural Log of 16 (ln 16). ln 16 ≈ 2.7726: the power you raise e to, to get 16. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--16/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    9≈ 2.1972
    10≈ 2.3026
    14≈ 2.6391
    16≈ 2.7726
    18≈ 2.8904
    20≈ 2.9957
    21≈ 3.0445
    Recalculate with different values ↑

    FAQ

    What is ln 16?

    ln 16 ≈ 2.7726

    What is the difference between ln 16 and log 16?

    ln 16 is the logarithm to base e, log 16 is to base 10: ln 16 ≈ 2.7726, log 16 ≈ 1.2041. One is the other divided by ln 10: log 16 = ln 16 / ln 10 ≈ 1.2041.

    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