Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Log Base 3 of 1/9

    Logarithm Calculator
    Log base
    x

    What is log₃(1/9)?

    Answer

    log3(1/9) =
    −2

    log3 is the log base 3.

    log3(1/9) is the power you raise 3 to, to get 1/9: 3y = 1/9.

    3⁻² = 1/3² = 1/9 ✓

    Oxy1

    Answer point (1/9, −2).

    The curve y = log3 x passes through (1, 0) and (3, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

    Log of 1/9 in different bases
    BaseNotationValue
    eln(1/9)≈ −2.1972
    10log(1/9)≈ −0.9542
    2log₂(1/9)≈ −3.1699
    3log₃(1/9)−2

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/logarithm/3--1-9Copy
    <a href="https://calculat.io/en/number/logarithm/3--1-9">Log Base 3 of 1/9 (log₃(1/9)) - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Log Base 3 of 1/9 (log₃(1/9)). log₃(1/9) = −2: the power you raise 3 to, to get 1/9. With the check and the graph.
    https://calculat.io/en/number/logarithm/3--1-9/generated.jpgCopy

    Log base 3 of nearby numbers

    xlog₃ x
    1/9−2
    10
    2≈ 0.6309
    31
    4≈ 1.2619
    5≈ 1.4650
    6≈ 1.6309
    Recalculate with different values ↑

    FAQ

    What is log₃(1/9)?

    log₃(1/9) = −2

    How to find log₃(1/9) without a calculator?

    Write 1/9 as a power of 3: 1/9 = 3⁻². The exponent is the answer: log₃(1/9) = −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