Answer
x-intercept: $($3, $0)$
vertical asymptote: $x=2$
domain: $($2, $\infty)$
range: $(-\infty,\infty)$
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Work Step by Step
$f(x)=\log_{2}x$
$g(x)=\log_{2}(x-2)=f(x-2),$
The graph of g is obtained by
shifting the graph of f to the right by 2 units.
x-intercept: $($3, $0)$
vertical asymptote: $x=2$
domain: $($2, $\infty)$
range: $(-\infty,\infty)$