What is log_{10}((y^4)/(\sqrt[3]{xz^2)}) ?

The solution to log_{10}((y^4)/(\sqrt[3]{xz^2)}) is 4log_{10}(y)-log_{10}(\sqrt[3]{xz^2})

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simplify log_{10}((y^4)/(\sqrt[3]{xz^2)})

simplify

Solution steps

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

Simplify

lo g_{10} (y^{4}) : 4 lo g_{10} (y)

lo g_{10} (12) - lo g_{10} (4)

(\frac{1}{2} arctan (\frac{e ^{x}}{2})) - (\frac{1}{2} ln (4 + e^{2 x}))

lo g_{9} (\frac{f}{81})

lo g_{b} (\frac{x ^{6} - x ^{2} y ^{4}}{y ^{3} z w ^{2}})

lo g_{10} (\frac{3 x ^{4}}{t})

What is log_{10}((y^4)/(\sqrt[3]{xz^2)}) ?
The solution to log_{10}((y^4)/(\sqrt[3]{xz^2)}) is 4log_{10}(y)-log_{10}(\sqrt[3]{xz^2})