You Do Need power plug adapter while traveling from Lebanon to Faroe Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Faroe Islands are C, E, F and K and in Lebanon are C, D and G. This is how they look like.

Lebanon

In Lebanon, outlets of type C, D and G are in use.

Type C

Type D

Type G

Faroe Islands

In Faroe Islands, outlets of type C, E, F and K are in use.

Type C

Type E

Type F

Type K