The fire alarm log book is the living record of a fire detection and alarm system — the document that proves the system is being tested weekly, serviced on schedule, and that faults and false alarms are being dealt with. BS 5839-1 expects one to be kept for every system, maintained by a responsible person at the premises, and available to the fire and rescue authority, fire risk assessors, and the servicing contractor.
Traditionally it's the dog-eared A4 book hanging by the panel: pages of handwritten weekly tests, gaps where somebody forgot, and no way of knowing whether the call point rotation actually covered the whole building. When a fire risk assessor asks for the record, the gaps become findings.
The log book is separate from fire alarm certificates. A certificate (design, installation, commissioning, or periodic inspection) is issued once by a competent person to record a specific piece of work. The log book is continuous — it carries on between certificates and ties them together.