The Raiders took the lead in the third play from scrimmage as Derek Carr lofted the ball deep for wide receiver Andre Holmes, who beat his man and ran all the way into the endzone for the 77-yard score.
San Diego hit back immediately as quarterback Philip Rivers engineered a solid drive before he hit Eddie Royal on a deep fade route, and the receiver snagged the ball over a defender for the 29-yard touchdown.
The Chargers upped the ante in the second quarter and Rivers once again moved them the length of the field, and then found Malcom Floyd over the middle on a slant route for a five-yard score.
Oakland rallied and Carr produced a series of excellent throws to move his side into a scoring position in the red zone before firing a touchdown strike over the middle for James Jones.
Sebastian Janikowski had the chance to fire the home side ahead just before the break with a 53-yard field goal, but he dragged his effort wide of the uprights.