Doubling every day is unlikely. Case numbers haven't even done that in Italy.
If you look on Wikipedia by Googling country name coronavirus 2020" you can see graphs showing how it's progressed in different countries. If you look at the trajectories in France/Germany, I think we are now following a similar pattern and you can get some idea as to how things might progress.
I think it's more likely we will be looking at an average increase of 100 cases per day, so more likely 700 cases by Friday. Obviously that is still extremely worrying but it's very different to thousands of cases.
I would bet a fair amount of money we won't have over 10,000 cases by Friday.