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

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

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simplify log_{e}((sqrt(x^3))/(\sqrt[4]{y^3)})

simplify

Solution steps

Apply log rule:

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

lo g_{e} (x^{3}) = ln (x x^{2})

lo g_{10} (z^{7} y)

ln (\frac{x - 1}{x - 2})

- \frac{8}{14} lo g_{2} (\frac{8}{14}) - \frac{6}{14} lo g_{2} (\frac{6}{14})

lo g_{10} (\frac{5}{36}) - lo g_{10} (\frac{5}{9})

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