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Popular >

expand log_{2}(9)

Solution

expand

lo g_{2} (9)

Solution

2 lo g_{2} (3)

+1

Decimal Notation

3.16992 \dots

Solution steps

lo g_{2} (9)

Rewrite

9

in power-base form:

9 = 3^{2}

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

Apply log rule:

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

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

= 2 lo g_{2} (3)

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Frequently Asked Questions (FAQ)

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