Disk drive executing log structured writes to physical zones based on power mode

A disk drive is disclosed comprising a head actuated over a disk comprising a plurality of physical zones including a first physical zone and a second physical zone, wherein the first physical zone comprises data tracks recorded at a first data rate and the second physical zone comprises data tracks recorded at a second data rate different than the first data rate. A write command is received including data and at least one logical block address (LBA). One of the first and second physical zones is selected based on a power parameter affecting a power consumption of the disk drive, and the data is written to a data sector in the selected physical zone. A physical block address (PBA) is assigned to the data sector, and an LBA to PBA map is updated for the written data.