Sorry, I had to sign-off as my chauffeuring duties took precedence...both grandkids are now home, so I will continue with my worthless remarks.
I actually signed up for LogMeIn back in Nov 2008! I think that was probably right after getting our iPhones.
At any rate, I have no app by that name, nor can I remember ever using it...maybe that's why it didn't eat my hard drive?
I do have RemoteTap on the iMac and the iPhone. It allows viewing the screen just like Screen Sharing but with modified controls to start/quit apps, click buttons, etc. It requires WiFi and some setting up the server on your Mac. I have used it several times to demonstrate its capabilities and read some data back on the Mac. But it is somewhat finicky (that's a networking term, sorry) and won't make a connection unless he WiFi is pretty speedy. At that point, it is similar to a boat anchor while in dry dock.
Perhaps someone has some ideas if you'll give us a wee hint about what you would like to do.
There are several apps that basically use
Virtual
Network
Connection to let you connect to your Mac from other places and/or machines. The major differences among them is the interface and ease of use.
Apparently, I'm still registered there, but I don't need an app to make these kinds of connections if I have to pay for it, thank you very much.
I dare say viewing the Mac screen on your Pad will be a lot easier than on the iPhone!