Also not to forget that a logline can fulfil two goals for the writer.
The first is structuring tool that helps you boiled down your concept to its bare minimum mission critical elements of the story. This helps you test your concept and see if it is worth spending months on end developing and writing.
The second is a pitching tool that helps you communicate in the most efficient way to others what your concept is. This is what the others have described above.
You need to know which function your logline needs to fulfil and draft it accordingly. In either event less is more of course, but when you need to hook the interest of an over worked executive (who wants to know that you are professional enough to be aware of the pressure he or she is under) the word count is more critical. Drop anything that is not crucial for them to understand.
If you are trying to test and re work your concept then the word count is less important.
Lastly about the logline I will add to what the others have posted that the starting point of your story is unclear. Why now? What makes the scribe need to take action at this crucial point in time?
Hope this helps.