I don’t know about exponential growth, but I noticed this trend curve for python:
In 2004, the latest version of Python was 2.3. What it tells me is that it could be a long time before Julia makes it big. It also tells me that there is something strange about Google Trends, since there has been only a very moderate increase in interest in Python over the past 16 years. I would have expected jumps of more than an order of magnitude.