Simplify
-ln $\frac { x ^ { 5 } y ^ { - 4 } } { w ^ { 3 } z ^ { - 2 } }$
A) 5lnx - 4lny - 3lnw - 2lnz
B) 5lnx + 4lny - 3lnw + 2lnz
C) 5lnx - 4lny - 3lnw + 2lnz
D) 5lnx + 4lny - 3lnw - 2lnz
E) none of these

Question

Quizplus · Accepted Answer

The properties of logarithms allow us to simplify the given expression as follows: ln(a/b) = ln(a) - ln(b), and ln(a^c) = c*ln(a). Applying these properties, we get 5ln(x) - 4ln(y) - 3ln(w) + 2ln(z).

Simplify -Ln x5y−4w3z−2\frac { x ^ { 5 } y ^ { - 4 } } { w ^ { 3 } z ^ { - 2 } }w3z−2x5y−4​

Simplify
-Ln $\frac { x ^ { 5 } y ^ { - 4 } } { w ^ { 3 } z ^ { - 2 } }$