iphone 5s not turning on showing apple logo

Well, there's your problem. iPhone 5s was released in 2013. It's now 10 years old. Batteries don't last forever. You can schedule an appointment at your Apple Store Genius Bar and pay Apple $69 for a new battery. But honestly, given the fact that iPhone 15 will be released in the fall and your phone is so out of date at this point, it really would make a lot more sense to put your money towards a new, modern iPhone. The fact you've gotten 10 years out of a phone is remarkable, but it's time to move on.

sumon ~ Does your iPhone 5s still have its original battery?

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Yes Sir!

And that.....is your problem.