Answer
$\quad g(x)=\log_{3}(x-1)$
Work Step by Step
We first locate the graph of $ f(x)=\log_{3}x $ among the six given graphs (from 47-52).
The graph of $ f(x)=\log_{3}x $
- nears the negative y axis as x approaches 0 from the right (graphs 49, 52),
- constantly rises, and passes through (1,0), (3,1), (9,2) (graph 52)
Graph 52 is the graph of $ f(x)=\log_{3}x $.
This graph (graph $51$) is obtained from the graph of $ f(x)$ by shifting it rightward by 1 unit: $ f(x-1)=\log_{3}(x-1)$
Which is $g(x)=\log_{3}(x-1)$
