Steven,
Your blog serves many roles.
1. The more pages on your site, the more weight is has with Google. They feel a 50 page site is more relevant than a 1 page site (how relevant can a one page site hold right?)
2. Your blog should be filled with your keywords, get in city names, 'home inspector' / 'home inspections', etc. Having more keywords on your page makes your site overall more relevant for those terms.
3. The page itself will show up on Google eventually and can even show high up in the rankings as your sites ranking itself grows.
4. Your blogs broadcast an RSS feed which are picked up by RSS sites that will link back to your site.
5. People read the blogs, find you're an interesting person and hire you.
Yup, the more the merrier
