If you wish to create a shortcut that will open the same .log file, located in the same place each time . . .
1) Create a shortcut to Notepad.
2) Right click and edit properties.
3) In the target cell, add a space and then the complete path and filename to the .log file you wish to edit or view.
4) That's about it. Now double clicking the shortcut will bring up the desired .log file every time.
Is this closer to what you requested?