Final answer:
The Access option Compact and Repair deletes old logs and rebuilds indexes to improve database performance and efficiency.
Step-by-step explanation:
The Access option that deletes old logs and rebuilds indexes is a) Compact and Repair.
This feature is designed to improve the performance of a database and recover unused space by eliminating old logs and unnecessary data that can accumulate over time. Additionally, Compact and Repair also rebuilds the database's indexes to enhance the efficiency of data retrieval.