What is expand log_{b}(x^2)sqrt(y) ?

The solution to expand log_{b}(x^2)sqrt(y) is 2log_{b}(x)sqrt(y)

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expand log_{b}(x^2)sqrt(y)

expand

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

2 lo g_{b} (x) y

Solution steps

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

Apply log rule:

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

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

= 2 lo g_{b} (x) y

lo g_{4} (5) + lo g_{4} (9)

10 lo g_{10} (5 x)

lo g_{4} (\frac{3 x - 5}{x})

lo g_{10} (\frac{2 a ^{5}}{27})

What is expand log_{b}(x^2)sqrt(y) ?
The solution to expand log_{b}(x^2)sqrt(y) is 2log_{b}(x)sqrt(y)