They are very very similar, the subtle difference is that “will be held” says that someone is holding the Olympics, whereas “will take place” means that the Olympics will happen. Hope that makes sense!
There is no difference when we talk about the meaning of both sentences. The first one has passive voice structure (will be held) and verb 'hold'. 'Hold' means to happen (as a meeting or an event).
On the other hand, the second question is just about the figure simple tense. 'Take place' also mean to happen - to occur.
All in all, You can use both sentences interchangeably and both are correct. The only thing that differs is grammar. If you want me to explain both future structures let me know in a reply and I'd be glad to help you!
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