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My iPhone 5c got stuck in an apple log I try restoring it but it still got stuck please help me.

Does it switch off when it gets stuck on Apple logo and or switch on again (boot looping)? Did the restore on iTunes succeeded or did it fail with a error code message pop up? Common causes of these are: Bad battery. U2 Tristar charging ic going bad. (Can somewhat be tested by unplugging battery, then plugging it back in and then plug into charger without trying to turn on. It should be able to show Apple logo without needing to press the power button and just plugging the charger in. If you want to test for Tristar chip failure you can follow this guide up to step 11: iPhone 5c Battery Replacement

Replace with new original battery and try to restore and if not U2 charging ic need to be changed