What is expand log_{10}(x^4)y^2 ?

The solution to expand log_{10}(x^4)y^2 is 4log_{10}(x)y^2

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expand log_{10}(x^4)y^2

expand

lo g_{10} (x^{4}) y^{2}

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

Solution steps

lo g_{10} (x^{4}) y^{2}

Apply log rule:

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

lo g_{10} (x^{4}) = 4 lo g_{10} (x)

= 4 lo g_{10} (x) y^{2}

lo g_{4} (\frac{z}{64})

lo g_{b} (\frac{p ^{4} q ^{5}}{m ^{3} b ^{9}})

lo g_{3} (\frac{9}{x + 9})

4 lo g_{10} (x) - 2 lo g_{10} (y) + 3 lo g_{10} (z)

\frac{1}{3} (lo g_{8} (a) + 2 lo g_{8} (b))

What is expand log_{10}(x^4)y^2 ?
The solution to expand log_{10}(x^4)y^2 is 4log_{10}(x)y^2