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    Natural Log of 1.05

    Logarithm Calculator
    Log base
    x

    What is ln 1.05?

    Answer

    ln 1.05 ≈
    0.0488

    ln is the natural log, base e ≈ 2.71828.

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

    ln 1.05 is the power you raise e ≈ 2.71828 to, to get 1.05: ey = 1.05.

    e⁰ = 1 < 1.05 < e¹ ≈ 2.7183, so 0 < ln 1.05 < 1

    Oxy1

    Answer point ≈ (1.05, 0.0488).

    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 1.05 in different bases
    BaseNotationValue
    eln 1.05≈ 0.0488
    10log 1.05≈ 0.0212
    2log₂ 1.05≈ 0.0704

    See Also

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    Natural Log of 1.05 (ln 1.05). ln 1.05 ≈ 0.0488: the power you raise e to, to get 1.05. With the check and the graph.
    https://calculat.io/en/number/logarithm/e--1.05/generated.jpgCopy

    Natural log of nearby numbers

    xln x
    0.5≈ −0.6931
    0.9≈ −0.1054
    10
    1.05≈ 0.0488
    1.5≈ 0.4055
    2≈ 0.6931
    e1
    Recalculate with different values ↑

    FAQ

    What is ln 1.05?

    ln 1.05 ≈ 0.0488

    What is the difference between ln 1.05 and log 1.05?

    ln 1.05 is the logarithm to base e, log 1.05 is to base 10: ln 1.05 ≈ 0.0488, log 1.05 ≈ 0.0212. One is the other divided by ln 10: log 1.05 = ln 1.05 / ln 10 ≈ 0.0212.

    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