Hi Martin,
If you're using an advanced template, you will need to update your
template to include the code. For example,
<MTEntries>
<iframe src="
http://www.facebook.com/widgets/like.php?href=<
$MTEntryPermalink encode_url="1"$>" scrolling="no" frameborder="0"
style="border:none; width:450px; height:80px"></iframe>
</MTEntries>
There is also an instruction on TypePad Knowledge Base.
http://help.typepad.com/facebook_like_widget.html#like-posts
If you have any further questions on this, please feel free to open a
ticket on TypePad and the support team can help you!
Thanks,
Satoshi