Blogger: Blogger is Google’s answer to blogging. It also happens to be the easiest way to add AdSense to your blog. If you’re going to start a blog, I suggest you start here.
WordPress: WordPress is also a pretty powerful blogging tool with free accounts. Here’s the rub though — if you want to have AdSense on your account, you have to pay for the premium account and even then it can be a difficult chore to put the code in the right place.
TypePad: TypePad is a hugely popular blogging application that allows you to use AdSense ads in the footer of blog posts. It’s also not difficult to use, which makes it another good option for a blog that includes AdSense ads.