[69] - Algebraic Systems for and from Math Contests

Να λυθεί το σύστημα:

$\sqrt{x^2 - 2x + 6 \cdot \log_3(6 - y)} = x$

$\sqrt{y^2 - 2y + 6 \cdot \log_3(6 - z)} = y$

$\sqrt{z^2 - 2z + 6 \cdot \log_3(6 - x)} = z.$