Question

How do i solve y=ln(2x)

Answer 1

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:
$e^{y} = e^{ln(2x)}$

This simplifies down to (using ln(x) properties):
$e^y = 2x$

Solve for x to get:
$x = \frac{e^y}{2}$