Solve the equation ln(2x) = 4.

The solution to ln(2x) = 4 is x = e^2 / 2.

To solve the equation ln(2x) = 4, we first need to isolate x. We can do this by exponentiating both sides of the equation with e, the base of the natural logarithm. This gives us:

e^(ln(2x)) = e^4

Using the property of logarithms that ln(e^a) = a, we can simplify the left-hand side of the equation to:

2x = e^4

Finally, we can solve for x by dividing both sides of the equation by 2:

x = e^4 / 2

This can also be written as x = e^(2/2) * e^2, which simplifies to:

x = e^2 / 2

Therefore, the solution to ln(2x) = 4 is x = e^2 / 2.