What is ln((\sqrt[5]{xy})/(wz^3)) ?

The solution to ln((\sqrt[5]{xy})/(wz^3)) is ln(\sqrt[5]{xy})-ln(w)-3ln(z)

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simplify ln((\sqrt[5]{xy})/(wz^3))

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

ln (w z^{3}) = ln (w) + ln (z^{3})

Apply log rule:

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

ln (z^{3}) = 3 ln (z)

- (ln (w) + 3 ln (z)) : - ln (w) - 3 ln (z)

lo g_{10} (5 x y) + lo g_{10} (4 x) - lo g_{10} (5 x y)

lo g_{10} (\frac{5 y}{x ^{2}})

2 lo g_{10} (5) - 2 lo g_{10} (2)

ln (2 e^{3})

ln (e^{2} x)

What is ln((\sqrt[5]{xy})/(wz^3)) ?
The solution to ln((\sqrt[5]{xy})/(wz^3)) is ln(\sqrt[5]{xy})-ln(w)-3ln(z)