You may have issues with the XAMPP installer version that sometimes gives issues with some Windows installations.
Try uninstalling XAMPP again then install using a different method by following closely the instructions in this post:viewtopic.php?p=179699#p179699
When and if you reinstall, you could use the version 3 control panel found in the xampp installation folder:xampp-control-3-beta.exe
The very latest version download link is in my signature.
Simply extract all the files from the archive to the xampp installation folder and overwrite when asked.
Then right click the exe file to run as administrator and to create a shortcut to the desktop, for example, for easier access.
This version has a more informative log window than the older 2.5 version.