What is ln((x^2\sqrt[5]{y^2})/(z^4)) ?

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

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simplify ln((x^2\sqrt[5]{y^2})/(z^4))

simplify

Solution steps

Apply log rule:

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (z^{4}) = 4 ln (z)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{2}) = 2 ln (x)

ln (\frac{( \frac{i}{2} - \frac{1}{2} ) !}{π ( \frac{i}{2} ) !})

ln (a) - 5 ln (b)

ln (3) + ln (8)

- ln (\frac{3}{2})

ln (3.9 \cdot 1 0^{- 13})

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