What is log_{10}(x/(\sqrt[3]{1-x)}) ?

The solution to log_{10}(x/(\sqrt[3]{1-x)}) is log_{10}(x)-log_{10}(\sqrt[3]{1-x})

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simplify log_{10}(x/(\sqrt[3]{1-x)})

simplify

Solution steps

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

2 lo g_{10} (x) - 4 lo g_{10} (x + 5) + \frac{1}{x} lo g_{10} (3 x + 5)

ln (\frac{4}{7 x ^{7} y})

- \frac{5}{8} lo g_{2} (\frac{5}{8}) - \frac{3}{8} lo g_{2} (\frac{3}{8})

ln (\frac{e ^{5}}{6})

lo g_{10} (x) - lo g_{10} (y + z)

What is log_{10}(x/(\sqrt[3]{1-x)}) ?
The solution to log_{10}(x/(\sqrt[3]{1-x)}) is log_{10}(x)-log_{10}(\sqrt[3]{1-x})