$f(x)=\log_3(x-1)$ corresponds to the graph labeled as (d).
Work Step by Step
Notice that: $f(2)=\log_3(2-1)=\log_31=0$. It gives us the point: $(2,0)$ Also, when $x-1→0^+$, that is, when $x→1^+$ $\log_3(x-1)→-∞$
You can help us out by revising, improving and updating this answer.Update this answer
After 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.