Respuesta :

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.