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Popular >

expand log_{a}(4s^2)

Solution

expand

lo g_{a} (4 s^{2})

Solution

2 lo g_{a} (2) + 2 lo g_{a} (s)

Solution steps

lo g_{a} (4 s^{2})

Apply log rule:

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

lo g_{a} (4 s^{2}) = lo g_{a} (4) + lo g_{a} (s^{2})

= lo g_{a} (4) + lo g_{a} (s^{2})

Apply log rule:

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

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

= lo g_{a} (4) + 2 lo g_{a} (s)

lo g_{a} (4) = 2 lo g_{a} (2)

= 2 lo g_{a} (2) + 2 lo g_{a} (s)

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Frequently Asked Questions (FAQ)

What is expand log_{a}(4s^2) ?
The solution to expand log_{a}(4s^2) is 2log_{a}(2)+2log_{a}(s)