You can have a socket in a bathroom, but it must be a minimum of 3 metres from the zones. Also, the circuit must be fitted with an RCD (earth leakage trip.)
You can get an inexpensive humidity meter from a DIY store and then compare bath/shower readings against the manufacturer specifications in the product manual.
The machines will obviously corrode and breakdown far sooner than you could expect if they were elsewhere in the house.
I appreciate Hypo's point there, but that only applies to old, poorly ventilated bathrooms........... which, to be honest, most people's bathrooms are ;o(
In a modern, well ventilated room, extraction directly above the bath/shower leaves a bathroom with no more of a humidity problem than any other room.
There is no excuse for steamed-up bathrooms anymore.
Thanks for your answers. Machines are to go in a wetroom (shower has a screen but no shower tray but the floor will slope away from the machines which will be the far end of the room. A powerful extractor fan will be installed. I could make the wetroom smaller and move a wall so that the machines are outside the wetroom. I have a blank sheet of paper.
As TB says at 13:00...plus you must confirm that all conductive parts within the bathroom are connected to the main earth point.This will confirm that a voltage exceeding 50v will not be present on metallic parts in the event of a fault.All appliances within the room must be able to operate safely within the environment....so check all IP ratings and speak to the manufacturer.
The excuse for steamed up bathrooms is that it is to B cold in the winter to have ventilation. (Well except for my woman who seems to like to freeze as long as she has fresh air.)
In these days of RCDs one is a little surprised to see we still have zones and the like. Isn't it all super safe now ?