Erling Haaland found the net once again to equal a Premier League record, however Manchester City had to settle for a 1-1 draw against Aston Villa that denied them going top overnight.
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Haaland scored his 10th Premier League goal in only his sixth match, equalling a record that Mick Quinn set for Coventry City in December 1992.
But a brilliant strike from Leon Bailey salvaged a point for Steven Gerrard's side who kept the champions in second place while Villa are 17th.
Chelsea's super subs
Thomas Tuchel's substitutions inspired Chelsea to come from behind to beat West Ham United 2-1 at Stamford Bridge.
Ben Chilwell and Kai Havertz responded after Michail Antonio had stunned Chelsea.
Toney torments Leeds
Ivan Toney scored a superb hat-trick for Brentford as they beat Leeds United 5-2.
After winning and converting a penalty, Toney scored a great free-kick before a sublime chip sealed his treble against a Leeds side who fought to the end.
Cherries' comeback
AFC Bournemouth produced a stirring comeback to come from 2-0 down at half-time to beat Nottingham Forest 3-2, with Jaidon Anthony producing a late winner.
Kane the winner
Harry Kane's fifth goal of the season guaranteed Tottenham Hotspur third place this weeks with a 2-1 victory over Fulham, for whom Aleksandar Mitrovic scored his sixth goal of the campaign.
Pickford heroics deny Liverpool
In a typically hard-fought Merseyside derby Everton shared the points with Liverpool in a goalless draw. The woodwork was struck four times, with Jordan Pickford pushing Mohamed Salah's shot on to a post in stoppage time the closest to a winner.
First victory for Wolves
Wolverhampton Wanderers overcame Southampton to claim their first win of the season, Daniel Podence with the only goal at Molineux.
Newcastle United were unable to convert their home dominance over Crystal Palace into goals as the two sides shared a goalless draw.
Can Man Utd be first to halt Arsenal?
Sunday will feature a mouthwatering meeting of two of the in-form sides as Manchester United host Arsenal.
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Mikel Arteta's side are the only team left with a 100 per cent record, while United have won their last three matches.
Before the match at Old Trafford, Brighton & Hove Albion will also look to continue their strong start to the season as they face bottom-of-the-table Leicester City.
