Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Natural Log of 0.1

    Logarithm Calculator
    Log base
    x

    What is ln 0.1?

    Answer

    ln 0.1 ≈
    −2.3026

    ln is the natural log, base e ≈ 2.71828.

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

    ln 0.1 is the power you raise e ≈ 2.71828 to, to get 0.1: ey = 0.1.

    e⁻³ ≈ 0.0498 < 0.1 < e⁻² ≈ 0.1353, so −3 < ln 0.1 < −2

    Oxy1

    Answer point ≈ (0.1, −2.3026).

    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 0.1 in different bases
    BaseNotationValue
    eln 0.1≈ −2.3026
    10log 0.1−1
    2log₂ 0.1≈ −3.3219

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/logarithm/e--0.1Copy
    <a href="https://calculat.io/en/number/logarithm/e--0.1">Natural Log of 0.1 (ln 0.1) - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Natural Log of 0.1 (ln 0.1). ln 0.1 ≈ −2.3026: the power you raise e to, to get 0.1. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--0.1/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    −1does not exist
    0does not exist
    0.01≈ −4.6052
    0.1≈ −2.3026
    0.2≈ −1.6094
    0.4≈ −0.9163
    0.5≈ −0.6931
    Recalculate with different values ↑

    FAQ

    What is ln 0.1?

    ln 0.1 ≈ −2.3026

    What is the difference between ln 0.1 and log 0.1?

    ln 0.1 is the logarithm to base e, log 0.1 is to base 10: ln 0.1 ≈ −2.3026, log 0.1 = −1. One is the other divided by ln 10: log 0.1 = ln 0.1 / ln 10 = −1.

    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