The invention is embodied in a method for enabling improved access to data stored in a log of a computer memory system, wherein the computer memory system has multiple copies of said log, i.e., a primary log and a secondary log. Each log stores data transactions with a database system stored on the computer memory system. The method initially responds to a process request for access to a log, by determining a parameter indicative of demand for access to one of the copies of the log. If the parameter has reached a threshold value, accessing processes are thereafter distributed between the primary and secondary copies of the log so as to balance the work dispatched to the respective log copies. The invention is implemented by a computer system and may also be incorporated into a memory media device such as a magnetic disk.