What is expand log_{10}(x^2)y^2 ?

The solution to expand log_{10}(x^2)y^2 is 2log_{10}(x)y^2

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expand log_{10}(x^2)y^2

expand

lo g_{10} (x^{2}) y^{2}

2 lo g_{10} (x) y^{2}

Solution steps

lo g_{10} (x^{2}) y^{2}

Apply log rule:

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

lo g_{10} (x^{2}) = 2 lo g_{10} (x)

= 2 lo g_{10} (x) y^{2}

lo g_{16} (\frac{4 x ^{5}}{z})

(- \frac{4}{6}) lo g_{2} (\frac{4}{6}) - (\frac{2}{6}) lo g_{2} (\frac{2}{6})

lo g_{8} (x z^{7})

lo g_{9} (\frac{a}{b ^{2}})

3 lo g_{10} (7) + lo g_{10} (2)

What is expand log_{10}(x^2)y^2 ?
The solution to expand log_{10}(x^2)y^2 is 2log_{10}(x)y^2