Turning down the output is a quick fix, but a terrible habit and and even harder one to kick.
I f***ing hate logics meters/faders. I'm actually going to customise mine so the go into the red way earlier.
The next mix you do, add a gain plugin on your master and turn it UP 6db. Then mix as you usually do, and keep the master Meter in the green without adjusting the fader.
It's generally also a bad idea to have your "mastering chain" on your mix bus. Sure we are all guilty of this, but it's another bad habit....
Try out the dynameter plugin, really helps give a good visual tool when you are mixing.