log on
to begin to use a computer system, as by entering a password, etc. (This action may be recorded, or logged, automatically in the computer's memory.) What time did you log on to the system this morning? I always log on before I get my first cup of coffee.
log someone on (to something)
to allow someone to link (electronically) to a computer system. (This action may be recorded, or logged, automatically in the computer's memory.) I will log you on to the system if you forgot how to do it. I will log on Jill, who is late.