Change /page/2/ Slug

Is it possible to change the slug that appears when you navigate multiple pages in your WP blog?

Explanation

I have WordPress installed in the root, which runs the entire site. All sections of the site use pages with custom templates. There is a page called “Blog” which runs the typical look and looks like a normal WordPress blog. To give the illusion the blog (WordPress) is only running in the blog section, all post permalinks have /blog/ before them. I thought I had pulled off the illusion until I used the navigation in the footer, went to page 2 of the loop and noticed the /blog/ dropped off the slug.