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Popular >

simplify log_{3}(1/(sqrt(27)))

Solution

simplify

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

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

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

\frac{1}{27} = 3^{- \frac{3}{2}}

= lo g_{3} (3^{- \frac{3}{2}})

Apply log rule:

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

= - \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is log_{3}(1/(sqrt(27))) ?
The solution to log_{3}(1/(sqrt(27))) is -3/2