Calculators & Converters

    What is Log Base 3 of 48?

    Logarithm & Inverse Log CalculatorLogarithm calculator to generate step by step calculation for how to find what is log base 3 of 48? Logarithm base 3 of 48 is 3.5237.

    log3(48) = 3.5237

    How to Find log3(48)? - Work with Steps

    The below is the work with steps to find what is log base 3 of 48 shows how the input values are being used in the log base 3 functions. Formula:
    logb(x) = y, if by = x

    Input:
    x = 48
    b = 3

    Solution:
    y = log3 48
    = log(3 x 2 x 2 x 2 x 2)
    = log3(3) + log3(2) + log3(2) + log3(2) + log3(2)
    = 1 + 0.6309 + 0.6309 + 0.6309 + 0.6309
    = 3.5236
    log3(48) = 3.5236

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