Light Yagami's strategic thinking influences his approach to the investigation by allowing him to meticulously plan his moves, anticipate his opponents' actions, and stay several steps ahead in the cat-and-mouse game with L. His ability to analyze situations from multiple angles and devise intricate schemes helps him manipulate others and maintain control over the investigation. This strategic mindset also enables him to exploit his intelligence and resources to outsmart his adversaries and achieve his goals effectively.
