Is it normal to love someone within five days of meeting them?

You're probably just infatuated. Love kinda different. You can compare infatuation to a high school crush whereas love is certainty you wanna spend your whole life with this person, flaws and all.

If you still feel that way in six months, then call it Love.

For now, keep the L-word to yourself until you feel it is a more appropriate time to express it. Otherwise, when you tell people about it (or him),you will either seem a little crazy, or just naive of the true nature of Love.

You can use different ways to express your feelings for him to other people so that they won't think you're crazy:

"I REALLY like this guy..."
"I'm so twitterpated over this guy..." (funny word)
"I'm so into this guy..."
"I'm really hung up on him..."
"I think he's the greatest..."
"He makes my heart just melt."

To him, to express affection without using the actual L-word, you could say:

"I think you are really wonderful."
"I always look forward to being with you."
"I always feel so GOOD when I am with you."
"I feel a deep connection with you."

I know my examples are probably not the greatest, but I'm sure you get the picture.

There are other ways of expressing the intense joy of a new relationship that has a lot of long-term potential.

Good luck!

You're infatuated with him, so yes, it's normal, but stay realistic. These instant fascination type relationships can often burn out as quickly as they lit. I don't mean to be a downer, and by all means, give this all you've got, but keep yourself grounded and don't do anything too rash.

Just don't rush things, honey.

I don't believe you can truely love somebody until you know them intimitly. You've fallen in love with what you currently know about him, and may be in love with who you think he is. You can't truely love him until you know him inside and out. You may also be mistaking lust as love.