"Inverse of an exponent?" Unsure of what you mean. Do you want to find the inverse of an exponential function?
Suppose y = 2e^x. Find the inverse function:
1. Interchange x and y: x = 2e^y
2. Solve this for y: ln x = ln 2 + y, so y = ln x - ln 2, or y = ln (x/2) (answer)
