Gonzalo Higuain gets a bit of luck, but finishes smartly.
Europa League video highlights
After a long spell on dominance, Jonathan De Guzman equalised for Swansea.
Lorenzo Insigne broke free of the Swansea, before dinking the ball over Michel Vorm.
Goal of the night in the Europa League went to Salzburg's Jonathan Soriano, who produced a Beckhamesque long-range effort from the halfway line.
The stunning goal wrapped up the 3-0 win at Ajax inside the opening 35 minutes.
Spurs manager Villas-Boas praised his players for their winning performance against Anzhi.
"The professionalism of the players to play the game was excellent and we were able to give a good standard to our play," AVB said.
"We created lots of attacking chances and it was pleasing on the eye."
An inspired two-touch finish from Lewis Holtby.
Anzhi remind Spurs that they are in a contest after all.
One more for Soldado and he bags his first hat-trick for Spurs. He won't get a better chance to do so, surely.
Terrific free-kick by Gylfi Sigurdsson and an instinctive close-range finish from the much-maligned Roberto Soldado. 1-0 to Spurs.