What is expand log_{5}((\sqrt[3]{x+1})/(x+3)) ?

The solution to expand log_{5}((\sqrt[3]{x+1})/(x+3)) is log_{5}(\sqrt[3]{x+1})-log_{5}(x+3)

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expand log_{5}((\sqrt[3]{x+1})/(x+3))

expand

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{30} (64) + lo g_{30} (1 5^{3}) - 3 lo g_{30} (2)

2 lo g_{10} (x) + lo g_{10} (11)

lo g_{10} (\frac{9 x ^{7} y}{x ^{2} y ^{4}})

2 lo g_{10} (0.1) + lo g_{10} (10) + lo g_{10} (0.001) - 5 lo g_{10} (0.0001)

lo g_{3} (13) + lo g_{3} (y)

What is expand log_{5}((\sqrt[3]{x+1})/(x+3)) ?
The solution to expand log_{5}((\sqrt[3]{x+1})/(x+3)) is log_{5}(\sqrt[3]{x+1})-log_{5}(x+3)