In order to solve this equation, we can do the following steps:
[tex]\begin{gathered} 4+5\log_5x=38\\ \\ 5\log_5x=38-4\\ \\ 5\log_5x=34\\ \\ \log_5x=\frac{34}{5}\\ \\ \log_5x=6.8\\ \\ x=5^{6.8}\\ \\ x=56623.41 \end{gathered}[/tex]
Therefore the correct option is D.
