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What is Log Base 6 of 96?

Logarithm & Inverse Log CalculatorLogarithm calculator to generate step by step calculation for how to find what is log base 6 of 96? Logarithm base 6 of 96 is 2.5474.

log6(96) = 2.5474

How to Find log6(96)? - Work with Steps

The below is the work with steps to find what is log base 6 of 96 shows how the input values are being used in the log base 6 functions. Formula:
logb(x) = y, if by = x

Input:
x = 96
b = 6

Solution:
y = log6 96
= log(6 x 2 x 2 x 2 x 2)
= log6(6) + log6(2) + log6(2) + log6(2) + log6(2)
= 1 + 0.3869 + 0.3869 + 0.3869 + 0.3869
= 2.5476
log6(96) = 2.5476

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