What is log_{5}((3y)/(\sqrt[4]{2x)}) ?

The solution to log_{5}((3y)/(\sqrt[4]{2x)}) is log_{5}(3)+log_{5}(y)-log_{5}(\sqrt[4]{2x})

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simplify log_{5}((3y)/(\sqrt[4]{2x)})

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{5} (3 y) : lo g_{5} (3) + lo g_{5} (y)

lo g_{10} (\frac{5 a ^{2} b ^{4} c}{2 x y})

lo g_{9} (81 x^{8})

- lo g_{10} (5 \cdot 1 0^{- 2})

lo g_{6} (12) - lo g_{6} (11)

2 ln (5) + \frac{1}{2} ln (8)

What is log_{5}((3y)/(\sqrt[4]{2x)}) ?
The solution to log_{5}((3y)/(\sqrt[4]{2x)}) is log_{5}(3)+log_{5}(y)-log_{5}(\sqrt[4]{2x})