I agree about the exponential nature of learning+communication. However it is strange that it took so long to get started.
Aside from the exponential nature of learning, I think the most important aspect of "why did it take so long" is: available time and resources for research and experimentation.
In a semi-nomadic hunter-gatherer society, they can only own as much as they can carry. There is very little planning for long term survival. Most, if not everything, is about having food today, next week and / or at best, for the winter.
While in such living conditions, there is also a slow increase of knowledge concerning the fabrication of practical and rudimentary tools, there is no time or room to "think outside the box" and test a few creative ideas, or try to answer a few difficult questions.
Chimpansees instinctively exhibit such behaviour in psychological experiments. They ARE a lot more intelligent then people tend to think. You can learn them things about tool use and such that they will pick-up on and use. But if what you are learning them can't be linked directly to rather immediate results (getting food for example), they lose interest quite rapidly.
Once people started settling down and discovering the basic principles of agriculture, something unprecedented happened: people started to own more then they can carry. The idea of "private and public owned property" surfaced. Now, keeping track of your inventory becomes important. What's a good way of doing that? Marks. Symbols.
Writing.
Now that people start to work the land, they quickly gain new knowledge and experience about that.
As they become better at it, crops become better and more food is available.
More "easy" food = less resources and time required for hunting and gathering.
With more time on their hands, people have more time to use building their house, gaining experience and knowledge in construction as well as to simply study things out of curiosity.
Also, now that they are settled in one spot, they also have the opportunity to work for weeks, months on something. This allowed for "bigger projects", which again is easy to see how it would gain them new knowledge and experience. Learn by doing.
Fascinating subject though.