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What is Log Base 4 of 72?

Logarithm & Inverse Log CalculatorLogarithm calculator to generate step by step calculation for how to find what is log base 4 of 72? Logarithm base 4 of 72 is 3.085.

log4(72) = 3.085

How to Find log4(72)? - Work with Steps

The below is the work with steps to find what is log base 4 of 72 shows how the input values are being used in the log base 4 functions. Formula:
logb(x) = y, if by = x

Input:
x = 72
b = 4

Solution:
y = log4 72
= log(4 x 2 x 3 x 3)
= log4(4) + log4(2) + log4(3) + log4(3)
= 1 + 0.5 + 0.7925 + 0.7925
= 3.085
log4(72) = 3.085

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