What is ln(r^3s^8\sqrt[3]{r^9s^2}) ?

The solution to ln(r^3s^8\sqrt[3]{r^9s^2}) is 3ln(r)+8ln(s)+ln(\sqrt[3]{r^9}\sqrt[3]{s^2})

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simplify ln(r^3s^8\sqrt[3]{r^9s^2})

simplify

Solution steps

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

Apply log rule:

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

ln (s^{8}) = 8 ln (s)

- ln (\frac{- t}{t + 1})

- 20.96 + 1.045 ln (e) + 3.33 ln (g) - 0.165 ln (g^{2})

\frac{ln ( 90 )}{2 ln ( 2 )} - 1

ln (3 t)

4 x + 5 ln (x) - ln (2 x y)

What is ln(r^3s^8\sqrt[3]{r^9s^2}) ?
The solution to ln(r^3s^8\sqrt[3]{r^9s^2}) is 3ln(r)+8ln(s)+ln(\sqrt[3]{r^9}\sqrt[3]{s^2})