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Popular >

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

Solution

simplify

lo g_{3} (273)

Solution

\frac{7}{2}

+1

Decimal Notation

3.5

Solution steps

lo g_{3} (273)

273 = 3^{\frac{7}{2}}

= lo g_{3} (3^{\frac{7}{2}})

Apply log rule:

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

= \frac{7}{2}

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Frequently Asked Questions (FAQ)

What is log_{3}(27sqrt(3)) ?
The solution to log_{3}(27sqrt(3)) is 7/2