You can do few simple steps to add a fivicon "Favorite icon" to your web browser/blog that appears just next to your domain name in your URL bar.
First of all you have to convert the picture you wanna add into an ICO format. You can do that through ICONJ website for free. ICONJ generates your favicon.ico with the code in their direct server.After uploading your picture, you can host it via iconj.com and copy the piece of code and paste it below in the head of your browser.
1- Sign in into your blogger account.
2- Go to Layout --->Edit HTML (Remember: you have to Download a full template of your blog before doing any modification to your HTML code!)
3- Paste the code directly under /HeAd and save your template.