But Liverpool's win was not without controversy, with Salah's first goal being marginally offside.
Salah now sits above a distinguished collection of strikers, with former Reds star Luis Garcia telling Premier League Productions of his achievements: "All big names that have passed through the Liverpool squad". They are now seventh in the table and look a proper Premier League unit.
Salah's three goals not only helped the Reds maintain their unbeaten start to the season, but it also launched Salah to the top of the goalscoring rankings in the Premier League alongside Arsenal frontman Pierre-Emerick Aubameyang, who will be looking to return to an outright lead in the Gunners 3pm kick-off with Huddersfield Town.
Paul Merson is backing Liverpool FC to ease to a comfortable win against Bournemouth at the Vitality Stadium on Saturday afternoon. Klopp told his postmatch news conference.
With the visitors a goal to the good in the closing minutes of the first half, Joshua King threatened to pounce on a dropping ball at the edge of the area - only for Alisson to rush out and emphatically head well away from danger. Nobody knows what that means, this league is so hard to play.
The No.13 chalked up his 10th clean sheet in the Premier League already by shutting out the Cherries.
That shutout was preserved until the final whistle on the south coast and consolidated their position as the side with the best defensive record in the league.
The Reds dominated possession for the rest of the half as they looked for a second goal, however they entered the break 1-0 up.