This is what Einstein had to say about light falling. But he failed to see(probably because he never believed in black holes) that light would park itself at the edge of a black hole after it slowed down. Nothing could even go in if this were true.

This just shows that a new theory of the extreme of gravity is necessary. That event horizons are actually the problem. Light coming out of gravity would also go slow. You would have to wait for it.

falling light.

Light would be traveling at the same speed but simply in a slower time.

It's not that nothing would make it in the black hole, it's that you wouldn't see it go in, as a viewer. The light would be seem frozen, and the last image you get will be paused, since it's kinda stuck.

Falling light slows down as it enters greater gravity until it would come to a comlete halt on the horizon.