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Popular >

simplify 3log_{3}(9)

Solution

simplify

3 lo g_{3} (9)

Solution

6

Solution steps

3 lo g_{3} (9)

Factor the number:

9 = 3^{2}

= 3 lo g_{3} (3^{2})

Apply log rule:

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

lo g_{3} (3^{2}) = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

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Frequently Asked Questions (FAQ)

What is 3log_{3}(9) ?
The solution to 3log_{3}(9) is 6