What is expand log_{10}(x^7\sqrt[3]{y^2z}) ?

The solution to expand log_{10}(x^7\sqrt[3]{y^2z}) is 7log_{10}(x)+log_{10}(\sqrt[3]{y^2z})

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expand log_{10}(x^7\sqrt[3]{y^2z})

expand

Solution steps

Apply log rule:

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

Apply log rule:

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

lo g_{10} (x^{7}) = 7 lo g_{10} (x)

lo g_{10} (y) + 11 lo g_{10} (z)

lo g_{10} (\frac{100 x ^{2}}{27})

lo g_{10} (\frac{z}{3} (t - 2))

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

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

What is expand log_{10}(x^7\sqrt[3]{y^2z}) ?
The solution to expand log_{10}(x^7\sqrt[3]{y^2z}) is 7log_{10}(x)+log_{10}(\sqrt[3]{y^2z})