What is log_{2}(x\sqrt[3]{x+8}) ?

The solution to log_{2}(x\sqrt[3]{x+8}) is log_{2}(x)+log_{2}(\sqrt[3]{x+8})

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simplify log_{2}(x\sqrt[3]{x+8})

simplify

Solution steps

Apply log rule:

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

5.14 + lo g_{10} (\frac{0.05}{0.4 - 0.05})

lo g_{10} (\frac{11 x}{2})

2 lo g_{a} (5) + lo g_{a} (6) - \frac{1}{3} lo g_{a} (8)

5 + lo g_{10} (3 x)

What is log_{2}(x\sqrt[3]{x+8}) ?
The solution to log_{2}(x\sqrt[3]{x+8}) is log_{2}(x)+log_{2}(\sqrt[3]{x+8})