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

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

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

simplify

Solution steps

Apply log rule:

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

Simplify

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

2 ln (a) - \frac{1}{3} ln (b) + 3 ln (c)

lo g_{10} (\frac{4 c}{3})

lo g_{10} (\frac{1000}{m ^{2} + n ^{2}})

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