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    Natural Log of 0.4

    Logarithm Calculator
    Log base
    x

    What is ln 0.4?

    Answer

    ln 0.4 ≈
    −0.9163

    ln is the natural log, base e ≈ 2.71828.

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

    ln 0.4 is the power you raise e ≈ 2.71828 to, to get 0.4: ey = 0.4.

    e⁻¹ ≈ 0.3679 < 0.4 < e⁰ = 1, so −1 < ln 0.4 < 0

    Oxy1

    Answer point ≈ (0.4, −0.9163).

    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 0.4 in different bases
    BaseNotationValue
    eln 0.4≈ −0.9163
    10log 0.4≈ −0.3979
    2log₂ 0.4≈ −1.3219

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    Natural Log of 0.4 (ln 0.4). ln 0.4 ≈ −0.9163: the power you raise e to, to get 0.4. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--0.4/generated.jpgCopy

    FAQ

    What is ln 0.4?

    ln 0.4 ≈ −0.9163

    What is the difference between ln 0.4 and log 0.4?

    ln 0.4 is the logarithm to base e, log 0.4 is to base 10: ln 0.4 ≈ −0.9163, log 0.4 ≈ −0.3979. One is the other divided by ln 10: log 0.4 = ln 0.4 / ln 10 ≈ −0.3979.

    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.