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Popular >

simplify 12log_{3}(1/27)

Solution

simplify

12 lo g_{3} (\frac{1}{27})

Solution

- 36

Solution steps

12 lo g_{3} (\frac{1}{27})

\frac{1}{27} = 3^{- 3}

= 12 lo g_{3} (3^{- 3})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{3} (3^{- 3}) = - 3

= 12 (- 3)

Multiply the numbers:

12 (- 3) = - 36

= - 36

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Frequently Asked Questions (FAQ)

What is 12log_{3}(1/27) ?
The solution to 12log_{3}(1/27) is -36