What is log_{10}((100*\sqrt[3]{1-x})/((x+1)^2)) ?

The solution to log_{10}((100*\sqrt[3]{1-x})/((x+1)^2)) is 2+log_{10}(\sqrt[3]{1-x})-2log_{10}(x+1)

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simplify log_{10}((100*\sqrt[3]{1-x})/((x+1)^2))

simplify

Solution steps

Apply log rule:

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

lo g_{10} ((x + 1)^{2}) = 2 lo g_{10} (x + 1)

ln (\frac{1}{9 k})

3 (2 \cdot lo g_{10} (a) - lo g_{10} (b))

lo g_{8} (\frac{x y ^{5}}{z ^{6}})

6 ln (x) - \frac{1}{8} ln (y)

- lo g_{10} (4 \times 1 0^{- 5})

What is log_{10}((100*\sqrt[3]{1-x})/((x+1)^2)) ?
The solution to log_{10}((100*\sqrt[3]{1-x})/((x+1)^2)) is 2+log_{10}(\sqrt[3]{1-x})-2log_{10}(x+1)