I've wanted a way to post this blog's entries in it's own separate LJ blog, not my personal LJ, because it can increase readership. I don't have many LJ friends, but if I did, then I would like to accommodate their desire to not have to leave their LJ comfort zone to view what's going on in my life.
I pay for this site, so it would make sense to make use of it. That and I like using Blogger more than LJ. Atom and RSS feeds are available here for anyone to subscribe, but there's no way to add a feed reader to a LJ account. I've read that it's prohibited to use embedding tags and javascript in one's layout. If I wanted to broadcast my RSS feed to my LJ account, I'd have to upgrade to "Paid" status. Not that it's needed. All you need is a LJ Plus account the current email address you use for your Blogger account.
Since this is about appeasing your LJ friends, I assume you already have a LJ account. If you don't have one, make an account and make sure that it's a "Plus" account. LJ members with basic accounts can't email entries to their blogs via email.
1) Go to the "Mobile Post" settings page of your LJ, and under "Allowed sender addresses", add the email address you associate with your Blogger account (it's in your "permission" settings if you've forgotten).
2) Under "PIN", create a pin number that is NOTHING like any password or PIN you've ever created. You don't want people guessing your LJ password based on your PIN number. If they do, they will gain control of your blog. Jot down the PIN just in case you forget it.
3) Change any of the Default settings to your liking. click "Save Settings". Now your Mobile settings are complete. Your LJ email address will look something like this: "username@post.livejournal.com", substituting "username" for your own LJ name of course.
4) Now remember the PIN you've created? You need this in order to post to your LJ blog via email. To do this, you'll need to either put the PIN in your email's subject, body, or in your LJ email address like this: username+PIN@post.livejournal.com (the "+" sign is needed). I don't suggest using the PIN inside of the subject or body.
NOTE: The subject and body of the email are the same as the subject and body of your Blogger blog post. If you put the PIN in either the subject of body of your blog post, the PIN will show up for the public to see in your Blogger blog, and that's not what you want. Use your LJ PIN inside your LJ email address for better security.
5) Copy your LJ email address (including the PIN). Go to your Blogger blog's "Email" settings. In the BlogSend Address box, paste the LJ email address. Save your settings.
6) Make a test blog post to your Blogger blog and publish it.
If it turns up at your LJ blog, then congratulations! You've successfully bypassed the need to pay Livejournal for web site feed broadcasting. All of your LJ friends can see what you're up to whether you post at Livejournal or at your Blogger blog. If it doesn't show up at Livejournal, then check your settings to make sure everything is right.