You Do Need power plug adapter while traveling from Libya to Tajikistan.

Here is Why You Need An Adapter

The outlet and plug type used in Tajikistan are C and F and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Tajikistan

In Tajikistan, outlets of type C and F are in use.

Type C

Type F