Hello! I need some assistance with this homework question for precalculus, please?HW Q21

Given:
[tex]e^x=19[/tex]Aim:
We need to find the equivalent statement of the given equation.
Explanation:
[tex]e^x=19[/tex]Taking the log with the base e on both sides of the equation.
[tex]log_e(e^x)=log_e(19)[/tex][tex]We\text{ know that }log_e(e^x)=x.[/tex][tex]x=log_e(19)[/tex]Final answer:
[tex]x=log_e(19)[/tex]