No, no, no!
The mute is for a pedal so that you can remote mute the ouput from the tuner.
Do this..
Bass -> Input 1 -> Using George Ls thin cable, go from Output on the rear of the tuner -> Input on your amp (If it's in a rack case, the George L is thin enough to go between rack units into the input of your amp.
Then, using a latched mute, (or maybe unlatched mute - you'd have to read the requirements of the tuner), you can then press your pedal for silent tuning. Press agin, the ouput then becomes live again so the signal goes to your amp.
PS There is no front tuner output.