Answer:
x=-2
Step-by-step explanation:
We are given that
[tex]e^{-\frac{1}{x}}=e^{\frac{1}{2}}[/tex]
We have to solve the given equation
Taking natural log ln on both sides then we get
[tex]ln(e^{-\frac{1}{x}})=ln(e^{\frac{1}{2}})[/tex]
[tex]-\frac{1}{x}=\frac{1}{2}[/tex]
By using the property
[tex]lne=1[/tex]
[tex]-2=x[/tex]
[tex]x=-2[/tex]
Hence, the solution of equation x=-2
