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    Natural Log of 0.9

    Logarithm Calculator
    Log base
    x

    What is ln 0.9?

    Answer

    ln 0.9 ≈
    −0.1054

    ln is the natural log, base e ≈ 2.71828.

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

    ln 0.9 is the power you raise e ≈ 2.71828 to, to get 0.9: ey = 0.9.

    e⁻¹ ≈ 0.3679 < 0.9 < e⁰ = 1, so −1 < ln 0.9 < 0

    Oxy1

    Answer point ≈ (0.9, −0.1054).

    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 0.9 in different bases
    BaseNotationValue
    eln 0.9≈ −0.1054
    10log 0.9≈ −0.0458
    2log₂ 0.9≈ −0.1520

    See Also

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    Natural Log of 0.9 (ln 0.9). ln 0.9 ≈ −0.1054: the power you raise e to, to get 0.9. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--0.9/generated.jpgCopy

    FAQ

    What is ln 0.9?

    ln 0.9 ≈ −0.1054

    What is the difference between ln 0.9 and log 0.9?

    ln 0.9 is the logarithm to base e, log 0.9 is to base 10: ln 0.9 ≈ −0.1054, log 0.9 ≈ −0.0458. One is the other divided by ln 10: log 0.9 = ln 0.9 / ln 10 ≈ −0.0458.

    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.