Answer
Please see the graph.
Work Step by Step
$f(x)= log (x-2)$
$x=12$
$f(x)= log {x-2}$
$f(12)= log {12-2}$
$f(12)= log 10$
$f(12)= 1$
$x=3$
$f(x)= log {x-2}$
$f(3)= log {3-2}$
$f(3)= log 1$
$f(3)=0$
$x=102$
$f(x)= log {x-2}$
$f(102) =log {102-2}$
$f(102)= log 100$
$f(102)= log 10^2$
$f(102)= 2$
$(3,0)$, $(12, 1)$, and $(102,2)$ are on the curve.