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Popular >

expand log_{2}(4)

Solution

expand

lo g_{2} (4)

Solution

2

Solution steps

lo g_{2} (4)

Rewrite

4

in power-base form:

4 = 2^{2}

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

Apply log rule:

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

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

= 2 lo g_{2} (2)

Apply log rule:

lo g_{a} (a) = 1

lo g_{2} (2) = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

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Frequently Asked Questions (FAQ)

What is expand log_{2}(4) ?
The solution to expand log_{2}(4) is 2