What is log_{10}((\sqrt[4]{x})(y^2)) ?

The solution to log_{10}((\sqrt[4]{x})(y^2)) is log_{10}(\sqrt[4]{x})+2log_{10}(y)

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simplify log_{10}((\sqrt[4]{x})(y^2))

simplify

Solution steps

Simplify

Apply log rule:

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

Simplify

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

2 ln (8) + 5 ln (x)

lo g_{3} (\frac{f}{27})

lo g_{\frac{1}{2}} (\frac{7}{x ^{2}})

lo g_{10} (x y) + lo g_{10} (\frac{y}{x})

ln (14) - ln (2)

What is log_{10}((\sqrt[4]{x})(y^2)) ?
The solution to log_{10}((\sqrt[4]{x})(y^2)) is log_{10}(\sqrt[4]{x})+2log_{10}(y)