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Popular >

simplify log_{3}(27^{3/2})

Solution

simplify

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

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

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

2 7^{\frac{3}{2}} = 3^{\frac{9}{2}}

= lo g_{3} (3^{\frac{9}{2}})

Apply log rule:

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

= \frac{9}{2}

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Frequently Asked Questions (FAQ)

What is log_{3}(27^{3/2}) ?
The solution to log_{3}(27^{3/2}) is 9/2