What is expand log_{2}(4xy^5) ?

The solution to expand log_{2}(4xy^5) is 2+log_{2}(x)+5log_{2}(y)

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expand log_{2}(4xy^5)

expand

lo g_{2} (4 x y^{5})

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

Solution steps

lo g_{2} (4 x y^{5})

Apply log rule:

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

lo g_{2} (4 x y^{5}) = lo g_{2} (4) + lo g_{2} (x) + lo g_{2} (y^{5})

= lo g_{2} (4) + lo g_{2} (x) + lo g_{2} (y^{5})

Apply log rule:

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

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

= lo g_{2} (4) + lo g_{2} (x) + 5 lo g_{2} (y)

lo g_{2} (4) = 2

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

lo g_{10} (p^{x} (1 - p)^{n - x})

5 lo g_{2} (x) - 9 lo g_{2} (y)

ln (\frac{5 x - 1}{x + 6})

lo g_{4} (x^{3}) y^{5}

ln (7 + 41) - 2 ln (2)

What is expand log_{2}(4xy^5) ?
The solution to expand log_{2}(4xy^5) is 2+log_{2}(x)+5log_{2}(y)