Just like the Derivative Rule these makes a function into smaller parts that actually avoid additional steps to solve the derivative.
e.g.
$$ \ln( x^2)→2\ln x = \frac 2 x $$
Where if we didn’t consider the log properties. We must use the chain rule.
$$ \ln(x^2)=\frac 1 {x^2}\cdot 2x=\frac 2 x $$
Here are some of the examples we can look at.
Ln not log