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What is Log Base 3 of 72?

Logarithm & Inverse Log CalculatorLogarithm calculator to generate step by step calculation for how to find what is log base 3 of 72? Logarithm base 3 of 72 is 3.8928.

log3(72) = 3.8928

How to Find log3(72)? - Work with Steps

The below is the work with steps to find what is log base 3 of 72 shows how the input values are being used in the log base 3 functions. Formula:
logb(x) = y, if by = x

Input:
x = 72
b = 3

Solution:
y = log3 72
= log(3 x 3 x 2 x 2 x 2)
= log3(3) + log3(3) + log3(2) + log3(2) + log3(2)
= 1 + 1 + 0.6309 + 0.6309 + 0.6309
= 3.8927
log3(72) = 3.8927

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