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Popular >

expand log_{3}(3^{-4})

Solution

expand

lo g_{3} (3^{- 4})

Solution

- 4

Solution steps

lo g_{3} (3^{- 4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{3} (3^{- 4}) = - 4 lo g_{3} (3)

= - 4 lo g_{3} (3)

Simplify

lo g_{3} (3) : 1

= - 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= - 4

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Frequently Asked Questions (FAQ)

What is expand log_{3}(3^{-4}) ?
The solution to expand log_{3}(3^{-4}) is -4