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

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

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

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

Apply log rule:

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

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

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

lo g_{3} (15 q)

lo g_{1.3} (0.5 x)

lo g_{b} (\frac{M}{N})

lo g_{8} (\frac{x y}{3})

- \frac{5}{14} lo g_{2} (\frac{5}{14}) - \frac{9}{14} lo g_{2} (\frac{9}{14})

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