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

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

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simplify log_{3}(x*\sqrt[5]{x+1})

simplify

Solution steps

Apply log rule:

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

ln (\frac{2}{5}) - ln (5)

ln (\frac{1}{1 + 4})

- lo g_{10} (5.8 \cdot 1 0^{- 5})

2 lo g_{e} (8) + 9 lo g_{e} (π) - lo g_{e} (5)

- lo g_{10} (4.2 \times 1 0^{- 4})

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