Log in into/into/onto

0As most native speakers of English are not that computer literate you'll hear various 'Logisms', in fact Wikipedia quotes the following:02br
02br
00To01font00 01i01b00log in02b02i02font00 (also: to 01i00log on02i00, 01i00sign in02i00, or 01i00

The difference between 'in to' and 'into' or 'on to' and 'on to' really has to do with inmplied motion/direction:

Jack went in to say, "Hello" to an old friend. (The to is part of the infinitive, not relating to the 'went in' part.)
Jack went into the room. (Motion)

He threw the keys onto the table. (Here we have motion of keys onto table)
He logged on to see the news. (H

I disagree with Tam and Christopher. "To log on/in" is a verb phrase. The helper word "on/in" in the verb phrase should not be concatenated with the preposition "to" in either "to the network" or "to your account." If someone asks you "Did you log on to your account?" You don't reply, "Yes, I logged." You say, "Yes, I logged on."

This simplifies the rule: Log on/log in for verbs. Logon/lo

"...most native speakers of English are not that computer literate..."

Just because you start your claim to knowledge with an insult, doesn't mean you're an authority to be taken seriously.

Microsoft Style Guide (4th edition) recommends to "use log on or log on to to refer to creating a user session on a computer or a network. Use log off or log off from to refer to ending a user session on a computer or a network. Use sign in and sign out to refer to creating and ending a user session on the Internet. Do not use log in, login, log ont

Logged onto the site