A busy log scrolls quickly. The filter strip above the list narrows it to what you are looking for, and the right-click menu gets the result out of the program.
Use the controls at the top of the Application log tab together; they combine, so each one you add tightens the result:
Clear the filters to see everything again.
Right-click the list to copy or save entries:
When you contact support, the most useful attachment is an export filtered to the Warning, Error, and Fatal entries from around the time the problem happened. That gives the smallest file that still shows what went wrong.
The handbook covers this in filtering and searching log entries and copying and exporting log entries.