What is log_{8}(c\sqrt[3]{ab}) ?

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

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simplify log_{8}(c\sqrt[3]{ab})

simplify

Solution steps

Apply log rule:

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

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

lo g_{10} (10 x) + lo g_{10} (20 y) - 1

\frac{1}{3} lo g_{a} (p) + 3 lo g_{a} (q) - 4 lo g_{a} (p)

lo g_{b} (\frac{x y ^{5}}{z ^{4}})

lo g_{2} (\frac{2 x ^{8}}{y})

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