Yes, logon is in the scrabble dictionary

...and is worth 9 points by itself.

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Logon Definition

noun

Variant of login.

from The American Heritage Dictionary of the English Language, 4th Edition

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Here are some other words you could make with the letters LOGON, you can also
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Top Words by points	Points
logon	6

2 letter words with LOGON	Points
go	3
lo	2
no	2
on	2

3 letter words with LOGON	Points
goo	4
log	4
loo	3
nog	4
noo	3
ono	3

4 letter words with LOGON	Points
goon	5
logo	5
long	5
loon	4
nolo	4

5 letter words with LOGON	Points
logon	6

Found 16 words in 0.16092 seconds