LONDON, Aug. 25 -- Liverpool made a statement of intent to confirm their candidacy for the Premier League title, beating Arsenal 3-1 at Anfield in the third weekend of the season to remain top of the table.

Mohamed Salah scored twice to allow Jurgen Klopp's men to send out a clear message to their title rivals that this year they mean to go all the way.

Arsenal had started the season with two wins and traveled to Liverpool with hopes of showing they too have title ambitions, but although coach Unai Emery will be able to reflect on an improved performance from last year's 5-1 defeat, his side still have ground to make up.

Sergio Aguero scored twice and Raheem Sterling hit the target again as Manchester City won 3-1 away to Bournemouth to maintain their excellent record against Eddie Howe's side and go second in the table.

Harry Wilson was on target for Bournemouth, but the south coast side have now scored just four goals while conceding 28 in their last nine games against City.

Tottenham looked to be real title challengers last weekend after drawing at the Etihad Stadium, but their hopes suffered a setback as they lost 1-0 at home to Newcastle United, who had lost their opening two games of the campaign.

A first-half goal from Brazilian striker Joelinton gave Steve Bruce's side a much-needed win as Spurs also saw a late penalty claim turned down by VAR.

Frank Lampard saw his faith in youth rewarded as Chelsea won an entertaining match 3-2 away to Norwich City.

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