Here is the very useful link for displaying/changing the Dynamics AX 2009 EP home page.
Display Company Logo on Dynamics EP Site and Hide Page Title
alternatively/in dynamics ax 2012, you can change the logo from C:\Program Files\Common Files\Microsoft Shared\Web Server Extensions\14\TEMPLATE\LAYOUTS\ep\images\ location and change the name you your logo file to DynamicsLogo64x64.png
Display Company Logo on Dynamics EP Site and Hide Page Title
alternatively/in dynamics ax 2012, you can change the logo from C:\Program Files\Common Files\Microsoft Shared\Web Server Extensions\14\TEMPLATE\LAYOUTS\ep\images\ location and change the name you your logo file to DynamicsLogo64x64.png