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

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

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

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{10} (9 x)

lo g_{10} (\frac{7 x}{3})

- lo g_{10} (3.5 \cdot 1 0^{- 8})

lo g_{10} (3 x + 8) - lo g_{10} (x)

lo g_{10} (8 x)

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