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    Log Base 2 of 0.125

    Logarithm Calculator
    Log base
    x

    What is log₂ 0.125?

    Answer

    log2 0.125 =
    −3

    log2 is the log base 2.

    log2 0.125 is the power you raise 2 to, to get 0.125: 2y = 0.125.

    2⁻³ = 1/2³ = 1/8 = 0.125 ✓

    Oxy1

    Answer point (0.125, −3).

    The curve y = log2 x passes through (1, 0) and (2, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

    Log of 0.125 in different bases
    BaseNotationValue
    eln 0.125≈ −2.0794
    10log 0.125≈ −0.9031
    2log₂ 0.125−3

    See Also

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    Log Base 2 of 0.125 (log₂ 0.125). log₂ 0.125 = −3: the power you raise 2 to, to get 0.125. With the check and the graph.
    https://calculat.io/en/number/logarithm/2--0.125/generated.jpgCopy

    Log base 2 of nearby numbers

    xlog₂ x
    −1does not exist
    0does not exist
    0.125−3
    1/6≈ −2.5850
    0.25−2
    1/3≈ −1.5850
    0.5−1
    Recalculate with different values ↑

    FAQ

    What is log₂ 0.125?

    log₂ 0.125 = −3

    How to find log₂ 0.125 without a calculator?

    Write 0.125 as a power of 2: 0.125 = 2⁻³. The exponent is the answer: log₂ 0.125 = −3.

    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