La. Revenue and Taxation § 47:305.48
Solely for purposes of the sales and use taxes levied by the state, motor vehicles subject to the vehicle registration tax previously purchased in another state by active duty military personnel stationed in Louisiana, shall, at the time of transfer of registration, be exempt from such use tax imposed by this Chapter if a sales tax was imposed and collected upon the purchase of the motor vehicle by the state in which the vehicle was purchased and the purchaser was a resident or stationed in the state where the taxes were paid. The motor vehicle shall continue to be exempt from such use tax as long as the registered owner remains on active duty in any branch of the armed forces of the United States and is stationed in Louisiana.
La. Revenue and Taxation § 47:305.48