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

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

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

simplify

Solution steps

Apply log rule:

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

- lo g_{10} (1.8 \cdot 1 0^{- 4})

\frac{5}{2} ln (\frac{15}{4})

lo g_{7} (343 x)

ln (\frac{6 x - 5}{x + 4})

lo g_{3} (4 x)

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