Question

True or False13. If e^x=-2, then x=-ln(2)

Answer 1

The equation/expression is True.

x = In (-2)

Step-by-step explanation

We are told to investigate if the given expression is true.

To do that, we will just solve the first equation

`\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}`

Hope this Helps!!!