Thanks Chris, I have just bought a Lexus rx400h 2006 which had same problem. The person I bought it from said it was working fine till he got the battery changed.
In my case it was 30amp Amp fuse in fuse box blown. I had a spare fuse that i replaced and radio started working.
Me and all my family members had gone on so many forums to find out the solution for this and here is my conclusions below.
1. You need to check all fuses in fuse box, especially "Amp" fuse then "Radio/ Rad" fuse then someone mentioned "Tel or Tell" fuse.
2. If this happened when battery was replaced then disconnect the battery and reconnect after cleaning the terminals and other connections that are connected with main terminal cables and ensure all connections are firm tight (this has resolved the issue for some people) if you still have the same problem after reconnecting the battery it might be worth checking out the Fuses mentioned in step 1 again. If they are all fine then...
3. Check Amp cable to see if this is damaged and causing the battery to go flat. It might be catching ground connection or some other cables and blowing up the fuse. If this is the case fix this issue and recharge your battery and reconnect it (if your car battery was replaced recently and you know it is new.
4. If your car battery is old and going flat often then replace the battery and follow all 3 step above if your radio and blue tooth volume isn't working and stays at "0".
5. If you have done all of the above and you still have the same problem then apparently pressing on the left of the radio body has fixed the issue for some. I am not sure where exactly as mine wasn't this issue. On other forums it has fixed it for some people. Apparently hot weather or if radio was pulled out before can cause a loose connection inside the radio (if you are very good at it you can open up the Radio and check all connections inside but you may not have to go this far).
6. If all fails and you are now sure that Radio unit or the Amplifier is faulty then replace them by buying the same from ebay or other places but i don't think you will get to this stage but some people have replaced amplifier and it has fixed the problem and others have replaced the Radio.(your own diagnosis and gut feeling about what might be faulty and depending on what is the cheapest option for you to go with first if you are unsure). If you have have bought one of them and still facing the same issue then buy the other and replace and hopefully you can sort it out and sell non faulty product or keep it, it's up to you.
I hope this helps others.
Good luck.