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    Natural Log of 0.5

    Logarithm Calculator
    Log base
    x

    What is ln 0.5?

    Answer

    ln 0.5 ≈
    −0.6931

    ln is the natural log, base e ≈ 2.71828.

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

    ln 0.5 is the power you raise e ≈ 2.71828 to, to get 0.5: ey = 0.5.

    e⁻¹ ≈ 0.3679 < 0.5 < e⁰ = 1, so −1 < ln 0.5 < 0

    Oxy1

    Answer point ≈ (0.5, −0.6931).

    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 0.5 in different bases
    BaseNotationValue
    eln 0.5≈ −0.6931
    10log 0.5≈ −0.3010
    2log₂ 0.5−1

    See Also

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    Natural Log of 0.5 (ln 0.5). ln 0.5 ≈ −0.6931: the power you raise e to, to get 0.5. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--0.5/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    0.1≈ −2.3026
    0.2≈ −1.6094
    0.4≈ −0.9163
    0.5≈ −0.6931
    0.9≈ −0.1054
    10
    1.05≈ 0.0488
    Recalculate with different values ↑

    FAQ

    What is ln 0.5?

    ln 0.5 ≈ −0.6931

    What is the difference between ln 0.5 and log 0.5?

    ln 0.5 is the logarithm to base e, log 0.5 is to base 10: ln 0.5 ≈ −0.6931, log 0.5 ≈ −0.3010. One is the other divided by ln 10: log 0.5 = ln 0.5 / ln 10 ≈ −0.3010.

    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