2:12 PM
BTW where does the problem come from? Is it homework assignment from some course? Is it exercise from a book? (If it is from a book, stating the name of the book and number of exercises would give answerers some idea which properties can be used and which properties can't be used. This is part of providing context for the question.) — Martin Sleziak 8 hours ago
@MartinSleziak It's from this lecture note. When the author tries to prove $(r^{t})^{u}$ for $t,u\in\mathbb{R},$ he mentioned (on the 5p) that "In this case we can write $a=bc$ for $b,c\in\mathbb{Q}$ and $b\le t,c\le u.$" — Il-seob Bae 8 hours ago
I have included it into your question. (Since the context of the question belong, well, into the question.) If you have further improvements or if I misrepresented something, go ahead and edit the post further. — Martin Sleziak 8 hours ago
@MartinSleziak I've posted many questions on this site, based on the understanding that people give more attention to simple and short questions. Now that I've heard what you said, it's been total waste of time to summarize all the contexts and nitty-gritty details. Thank you for pointing out. I will give more details in the next time. — Il-seob Bae 6 hours ago
I certainly did not intend to say that adding details is waste of time. Quite the opposite, I think that question should contain all necessary details. However, we have rather digressed from your original question. So, if needed, we should continue this discussion in chat. — Martin Sleziak 9 secs ago
In fact, if you look at the posts which were recently put on-hold (closed), you can see that one of the most frequent closure reasons is lack of context. So adding context helps answerers, makes the question more interesting and also prevents you from getting your question closed.
Re: I've posted many questions on this site, based on the understanding that people give more attention to simple and short questions. I certainly agree with that. It is good if the question is clearly stated and visible. (You should not leave it to the answerer to search through a big block of text just to find out what is actually the question.)
On the other hand, after the question is stated (and a clear and concise way), it is good to add some details, background knowledge, own attempts, origin of the problem and other stuff like that. I think it is quite well described in the FAQ what is meant under context.
@MartinSleziak Oh, I meant to agree with you :) I tended to make questions short and simple, thereby sometimes missing many useful details. After I heard what you said, I found the need for more room for details and contexts! — Il-seob Bae 1 min ago