I recommend you to ignore Android 4 devices. They are very rare now.
The image on the top left corner is usually used for an 'up' or 'drawer' buttons.
This code, from B4XPages + B4XDrawer example shows a hamburger icon:
B4X:
B4XPages.GetManager.ActionBar.RunMethod("setDisplayHomeAsUpEnabled", Array(True))
Dim bd As BitmapDrawable
bd.Initialize(HamburgerIcon)
B4XPages.GetManager.ActionBar.RunMethod("setHomeAsUpIndicator", Array(bd))
B4XDrawer v1.53 adds support for B4J. This is a good opportunity to create a B4XPages example using B4XDrawer. It does require some configuration so pay attention. The example is based on the three pages example...