Question

Solving Equations In Exercise,solve the equation for e^(x)1/2 = e^3

Answer 1

Answer:

x = 9

Step-by-step explanation:

We are given the equation

$e^{(x)^{1/2}} = e^3$

We solve the equation in the following manner

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

Solving for x, we get

$x = 9$