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    Natural Log of 0.01

    Logarithm Calculator
    Log base
    x

    What is ln 0.01?

    Answer

    ln 0.01 ≈
    −4.6052

    ln is the natural log, base e ≈ 2.71828.

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

    ln 0.01 is the power you raise e ≈ 2.71828 to, to get 0.01: ey = 0.01.

    e⁻⁵ ≈ 0.0067 < 0.01 < e⁻⁴ ≈ 0.0183, so −5 < ln 0.01 < −4

    Oxy1

    Answer point ≈ (0.01, −4.6052).

    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 0.01 in different bases
    BaseNotationValue
    eln 0.01≈ −4.6052
    10log 0.01−2
    2log₂ 0.01≈ −6.6439

    See Also

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    Natural Log of 0.01 (ln 0.01). ln 0.01 ≈ −4.6052: the power you raise e to, to get 0.01. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--0.01/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    −2does not exist
    −1does not exist
    0does not exist
    0.01≈ −4.6052
    0.1≈ −2.3026
    0.2≈ −1.6094
    0.4≈ −0.9163
    Recalculate with different values ↑

    FAQ

    What is ln 0.01?

    ln 0.01 ≈ −4.6052

    What is the difference between ln 0.01 and log 0.01?

    ln 0.01 is the logarithm to base e, log 0.01 is to base 10: ln 0.01 ≈ −4.6052, log 0.01 = −2. One is the other divided by ln 10: log 0.01 = ln 0.01 / ln 10 = −2.

    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