What is expand log_{10}(x^4)y^3 ?

The solution to expand log_{10}(x^4)y^3 is 4log_{10}(x)y^3

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expand log_{10}(x^4)y^3

expand

lo g_{10} (x^{4}) y^{3}

4 lo g_{10} (x) y^{3}

Solution steps

lo g_{10} (x^{4}) y^{3}

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^{3}

ln (\frac{2}{8})

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{5}})

lo g_{b} (3) + 2 lo g_{b} (5)

lo g_{2} (8 x^{3})

What is expand log_{10}(x^4)y^3 ?
The solution to expand log_{10}(x^4)y^3 is 4log_{10}(x)y^3