5G mobile networks have a significant impact on wireless communication, offering high data traffic with lower energy consumption and enhanced quality of service (QoS). This ultra-high-speed technology provides exceptional services, including high data rates, efficient bandwidth usage, and improved QoS. This paper analyzes and compares various algorithms related to the energy efficiency of wireless communication in 5G technologies, supported by numerical results. In an increasingly interconnected global landscape, optimizing the energy efficiency of wireless communication systems is critical to mitigate environmental impact and promote sustainability. By incorporating data transmission and network efficiency, an energy-efficient communication network can achieve high data throughput. The numerical results are compared, plotted, and discussed using graphical representations. Finally, the paper explores future trends in 5G technology. The results demonstrate that the L-TECER algorithm can handle more user nodes and offers a longer lifespan than the DADER and DUR algorithms. Adopting energy-efficient wireless communication technologies can significantly reduce the carbon footprint of network operations, thus contributing to sustainability initiatives and mitigating the effects of climate change.