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Popular >

expand log_{3}(9)

Solution

expand

lo g_{3} (9)

Solution

2

Solution steps

lo g_{3} (9)

Rewrite

9

in power-base form:

9 = 3^{2}

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 2 lo g_{3} (3)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

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Frequently Asked Questions (FAQ)

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