Yes, logical is in the scrabble dictionary

...and is worth 14 points by itself.

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Logical Definition

adjective

Based on earlier or otherwise known statements, events, or conditions; reasonable: Rain was a logical expectation, given the time of year.
Of, relating to, in accordance with, or of the nature of logic.
Reasoning or capable of reasoning in a clear and consistent manner.
Of, relating to, involving, or being in accordance with .
source from Merriam-Webster
Skilled in logic.
source from Merriam-Webster

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Top Words by points

Points

logical

10

2 letter words with LOGICAL

Points

ai

2

al

2

la

2

li

2

lo

2

ag

3

go

3

gi

3

oi

2

3 letter words with LOGICAL

Points

ill

3

lac

5

goa

4

gal

4

lag

4

log

4

oca

5

oil

3

col

5

cog

6

cig

6

all

3

ail

3

ago

4

4 letter words with LOGICAL

Points

laic

6

loca

6

loci

6

olla

4

clog

7

agio

5

call

6

calo

6

ciao

6

clag

7

coal

6

coil

6

cola

6

gall

5

gaol

5

gill

5

glia

5

goal

5

5 letter words with LOGICAL

Points

glial

6

lilac

7

local

7

logia

6

logic

8

6 letter words with LOGICAL

Points

gallic

9

7 letter words with LOGICAL

Points

logical

10

Found 48 words in 0.22115 seconds