これを書き留めて下さい。

this (indicating an item near the speaker, the action of the speaker, or the current topic); this person (usu. indicating someone in one's in-group); now; here; I (me); certainly

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

to write down; to leave a note behind; to record; to chronicle

to give; to confer; to bestow; to kindly do for one; to oblige; to favour; to favor