Answer
See below.
Work Step by Step
The derivative of the log function is:
$\frac{dlog_{a}{x}}{dx}=\frac{1}{x\ln a}$
The domain of the derivative is $(0,+\infty)$, same as the original function.
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.