# Minimizing An Outlandish Expression

Algebra Level 2

$\large x \ln x + y \ln y + z \ln z$

Let $x,y$ and $z$ be positive numbers satisfying $x+y + z= 3e$.

Find the minimum value of the expression above.

 Clarification: $e \approx 2.71828$ denotes the Euler's number.

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