What is log_{b}(\sqrt[4]{x}sqrt(y)) ?

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

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simplify log_{b}(\sqrt[4]{x}sqrt(y))

simplify

Solution steps

Apply log rule:

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

lo g_{4} (x - 3) + lo g_{4} (x + 3)

lo g_{10} (\frac{x}{1000})

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

2 lo g_{10} (b x) + 3 lo g_{10} (b) y

lo g_{3} (x) - lo g_{3} (x^{6})

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