Respuesta :

Answer:

x = 9

Step-by-step explanation:

We are given the equation

[tex]e^{(x)^{1/2}} = e^3[/tex]

We solve the equation in the following manner

[tex]e^{(x)^{1/2}} = e^3\\e^{\sqrt{x}} = e^3\\\text{Comparing both the sides we get}\\\sqrt{x} = 3\\\text{Squaring both sides}\\(\sqrt{x})^2 = 3^2\\x = 9[/tex]

Solving for x, we get

[tex]x = 9[/tex]