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 2 of 3

    Logarithm Calculator
    Log base
    x

    What is log₂ 3?

    Answer

    log2 3 ≈
    1.5850

    log2 is the log base 2.

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

    log2 3 is the power you raise 2 to, to get 3: 2y = 3.

    2¹ = 2 < 3 < 4 = 2², so 1 < log2 3 < 2

    log2 3 = ln 3 / ln 2 ≈ 1.098612 / 0.693147 ≈ 1.5850

    Oxy1

    Answer point ≈ (3, 1.5850).

    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 3 in different bases
    BaseNotationValue
    eln 3≈ 1.0986
    10log 3≈ 0.4771
    2log₂ 3≈ 1.5850

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/logarithm/2--3Copy
    <a href="https://calculat.io/en/number/logarithm/2--3">Log Base 2 of 3 (log₂ 3) - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Log Base 2 of 3 (log₂ 3). log₂ 3 ≈ 1.5850: the power you raise 2 to, to get 3. With the check and the graph.
    https://calculat.io/en/number/logarithm/2--3/generated.jpgCopy

    Log base 2 of nearby numbers

    xlog₂ x
    0.5−1
    10
    21
    3≈ 1.5850
    42
    5≈ 2.3219
    6≈ 2.5850
    Recalculate with different values ↑

    FAQ

    What is log₂ 3?

    log₂ 3 ≈ 1.5850

    How to calculate log₂ 3 on a calculator?

    Divide the natural logs: log₂ 3 = ln 3 / ln 2 ≈ 1.098612 / 0.693147 ≈ 1.5850.

    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