You Do Need power plug adapter while traveling from Laos to Solomon Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Solomon Islands are G and I and in Laos are A, B, C, E and F. This is how they look like.

Laos

In Laos, outlets of type A, B, C, E and F are in use.

Type A

Type B

Type C

Type E

Type F

Solomon Islands

In Solomon Islands, outlets of type G and I are in use.

Type G

Type I