Logging and transmission equipment comprising at least one autonomous measurement sensor, supplied by an electric cell, comprising an emitter able to transmit at various instants at least one value measured by the sensor, and a receiver for gathering the values transmitted by the emitter; the sensor comprises a means of measuring the temperature in the vicinity of the cell; a link is provided for supplying the emitter with the temperature values measured, which emitter is provided so as to transmit, in addition the values of at least one physical quantity, these temperature values measured, at determined intervals, and the receiver is provided so as to store the temperature values measured, estimates the lifetime of the cell by taking account of these measured values, and determine a date for replacing this cell.