As we know, e and ln(x) are inverses of each other. We can use this to our advantage by having e as a base, and raising both the sides of the equation:
[tex]e^{y} = e^{ln(2x)}[/tex]
This simplifies down to (using ln(x) properties):
[tex]e^y = 2x[/tex]
Solve for x to get:
[tex]x = \frac{e^y}{2} [/tex]
