Hi Zapdady.
If they are indeed the MK1´s, easy to see, the Led indicator in front is a switch, and it has a RCA/Phono connection in the back, you would use these to connect, RCA-RCA, and not the powerlink input(Din 8 Pole). It wouldńt work with the tape/line out of BM8000, since these are unregulated output for recording purposes. Instead use the OUT on the left side. These are meant for connecting external equalizers and such, and are simply a link between signals and the inbuild amplifier. You should use the signal, Out, for the 4000´s, and not connect the IN. This is, ofcourse, assuming you are not using passive speakers also.
The 4000´s needs a 5v signal to turn on with the DIN/powerlink connection, which the BM8000 doesnt have. Using the RCA/Line on the 4000, it will turn on when signal is present.
Sincerely
BeastDK
BTW the 4000 is a really fine speaker, however, depending on the age/serial it could have an issue with “Foam Rot”, look it up on this forum.