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			What do you mean: "an adb shell" on a KT3? 
A KT3 runs Amazon/Linux, not Google/Linux (a.k.a: Android). 
 
What do you mean: "dd rootfs and main kernel" ? 
I.E: To the kindle storage or From the kindle storage? 
 
If "from" - there is no need, you can download the complete file system image and kernel for the "main" system from Amazon (for any version of customer firmware ever released by Amazon - they are all still on the Amazon servers). 
 
If "to" - What are you trying to accomplish? 
There must be a lot to the story which you are not mentioning here. 
 
The Amazon installer does not keep an update log. 
Our (that is: Mobileread Package Installer, MrPI) does.
		 
		
	
		
		
		
		
		
		
		
		
		
		
	
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