Answer :
Answer
The equation/expression is True.
x = In (-2)
Explanation
We are told to investigate if the given expression is true.
To do that, we will just solve the first equation
[tex]\begin{gathered} e^x=-2 \\ \text{Take the naturallogarithms of both sides} \\ In(e^x)=In(-2) \\ \text{xIn(e) = In (-2)} \\ \text{Note that In (e) = 1} \\ \text{Hence,} \\ \text{xIn(e) = In (-2)} \\ x=In(-2) \end{gathered}[/tex]Hope this Helps!!!