Answer
$x=\pm2-5$
Work Step by Step
$(x+5)^4=16\\x+5=\sqrt[4] {16}=\sqrt[4] {2^4}=\pm2\\x=\pm2-5$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.