How to hook up my ipod nano to my home stereo?

If I have identified the correct item, the Panasonic 7700 tuner is just that; a radio tuner that can tune into radio signals. Therefore, you cannot connect the iPod directly to that tuner, either by Bluetooth or by a cable.

However, presumably, you're using the tuner with an amplifier, in which case you should be able to use an audio cable from the headphone socket on the iPod to the line input on your amplifier. This will be the best solution (see the note 3 at the end of this post for an alternative method that is not as good).

Specifically, search online for a 3.5mm to phono cable. That search term will work in the USA as well as here in Europe. Basically, it's a headphone plug on one end and two phono plugs on the other. Check on your amplifier for twin socket arrangement (two phono plugs) named either LINE IN or AUX. Once connected, use the amplifier's AUX input or Line input to listen to the iPod.

One point that you will need to be aware of is that both the volume control on the amplifier and the volume control on the iPod will control how loud the audio through your amplifier is. In other words, if either control is down as low as it will go, the sound out of the amplifier will be low or muted.

Notes:

1. although Bluetooth can be described as a "radio" signal, it does not transmit on any of the frequencies that a radio tuner can use. This means that no Bluetooth device can be used with that tuner
2. as far as I am aware, a 3rd generation iPod nano does not have Bluetooth
3. the only method for connecting the iPod to the tuner would be to use an FM radio transmitter. However, this method does not work well with an iPod and the sound quality will be less than it would be if you were to use a cable. Search for a 3.5mm to FM radio transmitter. The type you would need will have the 3.5mm headphone plug that plugs into the headphone socket on the iPod. That device then transmits on a radio frequency that you choose (that isn't used by an FM radio station local to you) and you then tune the tuner to that frequency to receive the iPod's audio. The volume control on the iPod will affect how loud the audio is from the tuner

The photos helped. They showed me more views of the unit than I had found in my research.

It does appear to have a built-in amplifier. The socket on the front is the headphone out socket (as you have discovered). The headphone jacks were big back then. The sockets on the back are known as phono sockets but - and this is an important thing to understand, the two sockets labelled "PHONO" (left and right) are for a turntable (vinyl record player). (I know, confusing eh?) If you plug the iPod into those sockets you may find that the sound suffers from distortion as well as producing an unnatural sound.

If so, you should find better results by plugging the two phono plugs from the cable into the TAPE sockets on the back of the unit instead. The volume will be lower but more controllable. Oh - and by the way, the two phono plugs on the cable should be different colours, usually red and black. The red plug is the right channel (so should be plugged into the TAPE - RIGHT socket) and the black plug is left channel and is plugged into the TAPE - LEFT socket. It will not do any harm if they are plugged in the other way round.

To recap: the sockets on the back of the unit are known as phono sockets (that's the type of socket/plug) and one plugs phono plugs into them. The sockets labelled PHONO (that's its purpose) are phono sockets but specifically for a turntable that plays vinyl records. There's more to this than I need to write here, so just accept that one would not usually plug anything different into that input. The results would not be good.

It's an old unit, possibly from 1969. By the time I bought my first stereo system (a few years later), phono sockets were no longer used for the speakers, possibly to avoid confusion about what to plug in where.

You're welcome.