I’m doing this assignment and got stuck on this question

Given:
[tex]loge^e[/tex]To simplify:
Explanation:
Using the logarithmic rule,
[tex]\log_a^b=b\log_a[/tex]So, we can write it as,
[tex]\begin{gathered} \log_e^e=e\log_e \\ =e(1)\text{ \lbrack Since }\log_e=1] \\ =e \end{gathered}[/tex]Therefore, the value is e.
Final answer:
The simplified answer is e.