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    Log of 0.9 (Base 10)

    Logarithm Calculator
    Log base
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    What is log 0.9?

    Answer

    log 0.9 ≈
    −0.0458

    log here is the common log, base 10.

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

    log 0.9 is the power you raise 10 to, to get 0.9: 10y = 0.9.

    10⁻¹ = 1/10 < 0.9 < 1 = 10⁰, so −1 < log 0.9 < 0

    log 0.9 = ln 0.9 / ln 10 ≈ −0.105361 / 2.302585 ≈ −0.0458

    Oxy

    Answer point ≈ (0.9, −0.0458).

    The curve y = log x passes through (1, 0) and (10, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

    Log of 0.9 in different bases
    BaseNotationValue
    eln 0.9≈ −0.1054
    10log 0.9≈ −0.0458
    2log₂ 0.9≈ −0.1520

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    <a href="https://calculat.io/en/number/logarithm/10--0.9">Log of 0.9 (Base 10) - Calculatio</a>Copy
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    Log of 0.9 (Base 10). log 0.9 ≈ −0.0458: the power you raise 10 to, to get 0.9. With the check and the graph.
    https://calculat.io/en/number/logarithm/10--0.9/generated.jpgCopy

    Common log of nearby numbers

    FAQ

    What is log 0.9?

    log 0.9 ≈ −0.0458

    What is the difference between log 0.9 and ln 0.9?

    ln 0.9 is the logarithm to base e, log 0.9 is to base 10: ln 0.9 ≈ −0.1054, log 0.9 ≈ −0.0458. One is the other divided by ln 10: log 0.9 = ln 0.9 / ln 10 ≈ −0.0458.

    What is e?

    e ≈ 2.71828 is the base of the natural logarithm: ln x is the logarithm of x to base e, so ln e = 1. It is an irrational number, like π.