EDIT: make sure you set this drawable as LOGO, not as your app icon like some of the commenters did.
Just make an XML drawable and put it in the resource folder "drawable" (without any density or other configuration).
<?xml version="1.0" encoding="utf-8"?>
<layer-list
xmlns:android="http://schemas.android.com/apk/res/android" >
<item
android:drawable="@drawable/my_logo"
android:right="10dp"/>
</layer-list>
The last step is to set this new drawable as logo in your manifest (or on the Actionbar object in your activity)
Good luck!
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