Shots have been fired and five police officers have been injured during a major investigation in Logan City, Brisbane and Redcliffe.

The drama began on Thursday morning when a teenager was allegedly kidnapped at Logan City and forced to withdraw money from several ATMs across Brisbane.

Police say a team of officers went to a house at Redcliffe in the afternoon looking for a man thought to have abducted the teenager.

That led them to a house in Dalton Street, where a four-wheel drive reversed out of a driveway at high speed toward three police officers.

Two officers fired shots at the car hoping to stop it.

Senior police say the car ploughed into three of the officers, injuring one of them seriously.

The driver sped off, side-swiping several more cars before crashing into a power pole about 20 metres from the house.

Two officers in police cars that were hit were also injured.

A man and woman in the car were arrested have been interviewed by police.