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24-09-2021
Mathematics

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If , [tex] log_{3} \: 12 = x[/tex] find [tex] log_{3} \: 4[/tex]
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LammettHash LammettHash

24-09-2021

Factorize 12, then distribute the logarithm over the product:

log₃(12) = log₃(3 • 4) = log₃(3) + log₃(4) = 1 + log₃(4)

If x = log₃(12), then

x = 1 + log₃(4) ===> log₃(4) = x - 1

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