What is log_{5}(x\sqrt[3]{x+8}) ?

The solution to log_{5}(x\sqrt[3]{x+8}) is log_{5}(x)+log_{5}(\sqrt[3]{x+8})

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simplify log_{5}(x\sqrt[3]{x+8})

simplify

Solution steps

Apply log rule:

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

lo g_{a} (75) + lo g_{a} (2)

\frac{1}{2} (ln (x) - ln (y))

lo g_{10} (5) - lo g_{10} (4)

lo g_{3} (7) + lo g_{3} (4)

ln (\frac{1}{e ^{2}}) + ln (2 e)

What is log_{5}(x\sqrt[3]{x+8}) ?
The solution to log_{5}(x\sqrt[3]{x+8}) is log_{5}(x)+log_{5}(\sqrt[3]{x+8})