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    Log Base 0.25 of 8

    Logarithm Calculator
    Log base
    x

    What is log base 0.25 of 8?

    Answer

    log0.25 8 =
    −3/2 = −1.5

    log0.25 is the log base 0.25.

    log0.25 8 is the power you raise 0.25 to, to get 8: 0.25y = 8.

    0.25−3/2 = (√0.25)⁻³ = 0.5⁻³ = 2³ = 8 ✓

    Oxy1

    Answer point (8, −3/2).

    The curve y = log0.25 x passes through (1, 0) and (0.25, 1) and falls: for x > 1 the log is negative, for 0 < x < 1 positive.

    Log of 8 in different bases
    BaseNotationValue
    eln 8≈ 2.0794
    10log 8≈ 0.9031
    2log₂ 83
    0.25log₀.₂₅ 8−3/2

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    Log Base 0.25 of 8. log base 0.25 of 8 = −3/2 = −1.5: the power you raise 0.25 to, to get 8. With the check and the graph.
    https://calculat.io/en/number/logarithm/0.25--8/generated.jpgCopy

    Log base 0.25 of nearby numbers

    xlog₀.₂₅ x
    8−3/2
    Recalculate with different values ↑

    FAQ

    What is log base 0.25 of 8?

    log base 0.25 of 8 = −3/2 = −1.5

    Why is log base 0.25 of 8 a fraction?

    Both numbers are powers of 0.5: 0.25 = 0.5² and 8 = 0.5⁻³, so 8 = 0.25^(−3/2) and log base 0.25 of 8 = −3/2 = −1.5.

    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.

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