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Popular >

expand log_{2}(AB^2)

Solution

expand

lo g_{2} (A B^{2})

Solution

lo g_{2} (A) + 2 lo g_{2} (B)

Solution steps

lo g_{2} (A B^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} (A B^{2}) = lo g_{2} (A) + lo g_{2} (B^{2})

= lo g_{2} (A) + lo g_{2} (B^{2})

Apply log rule:

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

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

= lo g_{2} (A) + 2 lo g_{2} (B)

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Frequently Asked Questions (FAQ)

What is expand log_{2}(AB^2) ?
The solution to expand log_{2}(AB^2) is log_{2}(A)+2log_{2}(B)