Arsenal made no mistake in underlining their title credentials at the Emirates as they produced a dominant performance to secure victory.
Santi Cazorla opened the scoring as he pounced on a rebound after heading Bacary Sagna's right-wing cross against the post following a fine counterattack from the hosts.
Liverpool had spells of pressure at various points in the match but Arsenal killed things off after 59 minutes, when Aaron Ramsey collected a square pass from Mesut Ozil on the edge of the area before unleashing a magnificent volley to all but the end the game as a contest.Jack Wilshere was left out of the Arsenal starting XI due to an ankle problem, while Tomas Rosicky came in for the injured Mathieu Flamini.
Brendan Rodgers, meanwhile, made just one change to the Liverpool side that beat West Brom 4-1 in their previous Premier League clash, as Jon Flanagan replaced Glen Johnson to make his first start of the season at wing-back.
Arsenal created the first chance after five minutes, Liverpool goalkeeper Simon Mignolet producing a good save to deny midfielder Rosicky from close range following neat build-up play from the hosts.
Liverpool dictated possession for much of the early stages - yet it was Arsenal who went ahead 19 minutes in as Cazorla showed great reactions to fire past Mignolet after initially hitting the woodwork.
Wenger's men looked to press home their superiority following the goal, Cazorla's long-range drive forcing another strong stop from Mignolet, who was called into action again to prevent Ramsey from doubling their advantage soon afterwards.
Cazorla was at the centre of the majority of Arsenal’s attacks and the Spain international wasted another opportunity to increase the lead when he dragged a poor shot wide of the right-hand post just before half-time.
Liverpool went close to levelling in the early stages of the second half, however, as midfielder Jordan Henderson fired narrowly over the crossbar following good work down the right from Luis Suarez, who played well considering the furore surrounding his potential move to the Emirates this summer gone.
But the visitors were fortunate not to concede a second as Olivier Giroud somehow shot wide after a mistake from Kolo Toure had allowed the France international striker to race through on goal.
Rodgers' men did not learn from that let off, though, and were duly punished a few minutes later,Ramsey shooting past a helpless Mignolet with a sublime volley.
Liverpool threatened an unlikely comeback in the closing stages, Suarez twice spurning glaring opportunities and Wojciech Szczesny denying substitute Philippe Coutinho - but Arsenal saw out a deserved victory and are now five points clear at the top of the table.