Chosen Solution

Firstly, thank you to everyone that least looked at this. my iPhone 5s has weird symptoms that could be from a damaged battery or motherboard damage heres the problem, when the phone dies, plug it in displays Apple logo for few seconds than fades to just a lit black screen. IF I take the phone and put it into dfu mode and restore it through iTunes the phone will do its thing then bootup correctly no Apple logo disappearing but… when the phone dies it does the same with the logo, I’ve got a good feeling it’s the battery but decided to get an answer from people who know more than me

It could be the battery, that would certainly be the easiest thing to try. The battery is the weakest link in the entire phone and certainly for charger related issues. It is also the easiest thing to replace. Use a battery utility, such as coconutBattery (for Mac) or 3uTools (for Windows) to test the battery prior to removal. Anything less than 70% of design capacity will require replacement.