ln is called the natural log, or log to the base e. ln can also be written as [tex]log_{e} [/tex]
So, we can write the given expression as
[tex] e^{log_{e}(6) } [/tex]
The property of logs is:
[tex] a^{log_{a}(x) }=x [/tex]
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write [tex]e^{ln(6)}=6 [/tex]
Thus, the correct answer is option D
