can you please go to your Programs and Features (located in Control Panel\Programs\Programs and Features), scroll down to J and see if you have anything under java, uninstall all of them
don't just leave one, get rid of all of them, now reboot your computer
Now go to this website:
http://www.oracle.com/technetwork/java/javase/downloads/jre7-downloads-1880261.html
^The above is the correct website, not the links Tyrindor gave
If you have a 32 bit computer, download the Windows x86 Offline file
If you have a 64 bit computer, download the Windows x64 with the download labelled: jre-7u45-windows-x64.exe
If you dont know your version, open control panel and navigate to Control Panel\System and Security\System
it should say your version under System Type
Run the install file
Once done reboot once again
Now run the FTB Launcher, please repost the log. Even if it looks the same, there may be some differences.