When I hear people talking about something growing “exponentially” I think of the line from the Princess Bride where Inigo Montoya says
You keep using that word. I do not think it means what you think it means.
When most people say “exponential” they mean “really fast.” But that’s not what exponential growth means at all. Many things really do grow exponentially (for a while), but not everything that is “really fast” is exponential. Exponential growth can be amazingly fast, but it can also be excruciatingly slow. See Coping with exponential growth.