You Do Need power plug adapter while traveling from Taiwan 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 Taiwan are A and B. This is how they look like.

In Taiwan, outlets of type A and B are in use.

Type A

Type B

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

Type G

Type I

I am from

going to