Question

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

Answer 1

x = 9

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^(√(x)) = e^3\\\text{Comparing both the sides we get}\\√(x) = 3\\\text{Squaring both sides}\\(√(x))^2 = 3^2\\x = 9`

Solving for x, we get

`x = 9`