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Popular >

simplify 2log_{9}(3)

Solution

simplify

2 lo g_{9} (3)

Solution

1

Solution steps

2 lo g_{9} (3)

Factor the number:

9 = 3^{2}

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

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

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

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

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

= lo g_{3} (3)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is 2log_{9}(3) ?
The solution to 2log_{9}(3) is 1