The Gunners managed a comfortable 3-0 home win over the Cherries having been battered 5-0 by Liverpool in their previous fixture.
And Wenger reckons it was crucial for his side to bounce back.
He said: “It’s always test when you have such a negative experience, like we had at Liverpool, for the mental health of the team to respond.
“We had a good committed, disciplined and a very good offensive performance.
“I went for a bit more experience at the back, I changed the positions a little bit and I think it suited the team well and we looked solid.”
Arsenal lock horns with Cologne at the Emirates tonight.
However, the match has been delayed by an hour due to crowd trouble.
Ticketless fans from the Bundesliga outfit turned up in their thousands and tried to force entry into the stadium.
Fighting has also taken place around Drayton Park tube.
Arsenal opted to put the kick off time back in the interests of crowd safety.
Cologne supporters had been on the rampage through Oxford Circus and Soho earlier in the day.
The German side, who are bottom of the Bundesliga, have not played in a European competition for 25 years.
