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Popular >

simplify 1/2 log_{3}(81)

Solution

simplify

\frac{1}{2} lo g_{3} (81)

Solution

2

Solution steps

\frac{1}{2} lo g_{3} (81)

Factor the number:

81 = 3^{4}

= \frac{1}{2} lo g_{3} (3^{4})

Apply log rule:

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

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

= \frac{1}{2} \cdot 4

\frac{1}{2} \cdot 4 = 2

= 2

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Frequently Asked Questions (FAQ)

What is 1/2 log_{3}(81) ?
The solution to 1/2 log_{3}(81) is 2