Upper Bound of Natural Logarithm/Corollary

Theorem
Let $\ln y$ be the natural logarithm of $y$ where $y \in \R_{>0}$.

Then:
 * $\forall s \in \R_{>0}: \ln x \le \dfrac {x^s} s$

Proof
The result follows by dividing both sides by $s$.

Also see

 * Bounds of Natural Logarithm