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What is Log Base 3 of 96?

Logarithm & Inverse Log CalculatorLogarithm calculator to generate step by step calculation for how to find what is log base 3 of 96? Logarithm base 3 of 96 is 4.1546.

log3(96) = 4.1546

How to Find log3(96)? - Work with Steps

The below is the work with steps to find what is log base 3 of 96 shows how the input values are being used in the log base 3 functions. Formula:
logb(x) = y, if by = x

Input:
x = 96
b = 3

Solution:
y = log3 96
= log(3 x 2 x 2 x 2 x 2 x 2)
= log3(3) + log3(2) + log3(2) + log3(2) + log3(2) + log3(2)
= 1 + 0.6309 + 0.6309 + 0.6309 + 0.6309 + 0.6309
= 4.1545
log3(96) = 4.1545

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