I'm with the wiki here.
The audio amplifier is probably too hot to touch (warning, you can burn your finger!).
Right in front of the audio amplifier chip are some yellow tantalum capacitors. They fail by incinerating themselves, and I've had half a dozen of these caps in this kind of sound board fail in the last year or so.
Sound board repair is... challenging.
You might get lucky and just have to replace the LM1875. You might only have to replace the incinerated yellow tantalum capacitor you find. (Hehe)
But most of my repairs have been more than that, and some of the boards I've fixed myself, a lot I've sent off to people with better board repair skills than I have.
Good luck, and let us know what you find!