Answered

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

Sagot :

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]

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