Answer
$x\gt7$
Work Step by Step
The number of the logarithm must be greater than $0$, so we make an inequality to determine the domain.
$f(x)=\ln(x-7)^2$
$(x-7)^2\gt0$
$x\gt7$
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.