my iphone 5 will show the battery is charging then shows apple logo then restarts

Hi dullahdullahbills98,

Thank you for recently becoming a member of the Apple Support Communities and for taking the time to post this question! We’re glad you’re here and can’t wait to hear more from you! :)

To begin troubleshooting this situation where your iPhone shows the Apple logo and restarts, read over and work through the suggested steps in the attached article.

If your iOS device restarts or displays the Apple logo unexpectedly - Apple Support

If your iPhone will not start up past the Apple logo at all, please be sure to select the link in that same article to take you to the specific troubleshooting steps for that situation.

If your iPhone, iPad, or iPod touch doesn't respond or doesn't turn on - Apple Support

We know how frustrating situations like this can be, but I want to assure you that we are here to help! Please reply and let us know if these steps were useful to you in troubleshooting this situation or to provide more information.

We look forward to your continued participation in the Apple Support Communities!

Best!