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Popular >

expand log_{5}(xy^2)

Solution

expand

lo g_{5} (x y^{2})

Solution

lo g_{5} (x) + 2 lo g_{5} (y)

Solution steps

lo g_{5} (x y^{2})

Apply log rule:

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

lo g_{5} (x y^{2}) = lo g_{5} (x) + lo g_{5} (y^{2})

= lo g_{5} (x) + lo g_{5} (y^{2})

Apply log rule:

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

lo g_{5} (y^{2}) = 2 lo g_{5} (y)

= lo g_{5} (x) + 2 lo g_{5} (y)

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Frequently Asked Questions (FAQ)

What is expand log_{5}(xy^2) ?
The solution to expand log_{5}(xy^2) is log_{5}(x)+2log_{5}(y)