Match ends, 1. FSV Mainz 05 0, FC Bayern München 3.
Robert Lewandowski's memorable week continued as the Bayern Munich striker reached 100 Bundesliga goals quicker than any other foreign player.
The Poland captain, 27, scored five goals in nine minutes in the midweek win against Wolfsburg and netted twice more against Mainz as title holders Bayern extended their 100% start to seven games.
After Thomas Muller missed a first-half penalty, Lewandowski headed in his 100th German top-flight goal in his 168th appearance.
The former Borussia Dortmund player, who arrived on a free transfer in the summer of 2014, rounded Mainz keeper Loris Karius to slot in the second.
And Bayern's perfect start continued when summer signing Kingsley Coman added a third, converting from close range after an incisive run from Douglas Costa.
Lewandowski's double took him to 10 goals for the season, making him only the second player after Bayern legend Gerd Muller to reach double figures after the opening seven Bundesliga matches.
Victory means Pep Guardiola's side are five points clear of second-placed Borussia Dortmund, who host newly-promoted Darmstadt on Sunday.
Elsewhere, Schalke moved level with Dortmund after edging past Hamburg 1-0 in their fourth straight win.
Wolfsburg, who travel to Manchester United in the Champions League on Wednesday, remain fourth following a 1-1 draw in the Lower Saxony derby against struggling Hannover.
Borussia Monchengladbach warmed up for their European fixture against Manchester City with their second win in two matches under interim coach Andre Schubert, earning a 3-1 victory against Stuttgart.
Werder Bremen suffered their third consecutive defeat with a 3-0 defeat by Bayer Leverkusen, while Hoffenheim clinched their first victory of the season by beating Augsburg 3-1.
- 14BaumgartlingerBooked at 28mins
- 6LatzaSubstituted forMoritzat 73'minutes
- 27ClemensSubstituted forBalogunat 81'minutes
- 10MalliSubstituted forSamperioat 67'minutes
- 32De Blasis
- 8Martínez AguinagaSubstituted forBoatengat 67'minutes
- 13Ferreira de Souza
- 14AlonsoBooked at 27mins
- 6Thiago Alcántara
- 25MüllerSubstituted forVidalat 58'minutes
- 11Douglas CostaSubstituted forGötzeat 70'minutes
- Bastian Dankert
- Shots on Target
Second Half ends, 1. FSV Mainz 05 0, FC Bayern München 3.
Attempt missed. David Alaba (FC Bayern München) left footed shot from outside the box is too high. Assisted by Thiago Alcántara.
Corner, FC Bayern München. Conceded by Julian Baumgartlinger.
Attempt blocked. Jerome Boateng (FC Bayern München) left footed shot from outside the box is blocked. Assisted by Philipp Lahm.
Offside, 1. FSV Mainz 05. Jairo Samperio tries a through ball, but Daniel Brosinski is caught offside.
Corner, FC Bayern München. Conceded by Leon Balogun.
Offside, FC Bayern München. David Alaba tries a through ball, but Rafinha is caught offside.
Corner, 1. FSV Mainz 05. Conceded by Rafinha.
Foul by Arturo Vidal (FC Bayern München).
Pierre Bengtsson (1. FSV Mainz 05) wins a free kick on the left wing.
Thiago Alcántara (FC Bayern München) wins a free kick in the attacking half.
Foul by Jairo Samperio (1. FSV Mainz 05).
Substitution, 1. FSV Mainz 05. Leon Balogun replaces Christian Clemens.
Foul by Mario Götze (FC Bayern München).
Julian Baumgartlinger (1. FSV Mainz 05) wins a free kick in the defensive half.
Mario Götze (FC Bayern München) wins a free kick in the defensive half.
Foul by Daniel Brosinski (1. FSV Mainz 05).
Christian Clemens (1. FSV Mainz 05) hits the bar with a right footed shot from the right side of the box. Assisted by Jairo Samperio.
Rafinha (FC Bayern München) wins a free kick in the defensive half.