The correct option is A
[tex]e^{\ln 5x}=5x[/tex]Explanation:Given the function:
[tex]e^{\ln x}[/tex]Simplifying this results to
[tex]5x[/tex]This is because ln 5x is called Natural Logarithm of 5x, and defined as
[tex]\ln 5x=\log _e5x[/tex]so
[tex]e^{\ln 5x}=e^{\log _e5x}[/tex]