Question 1127953


{{{g(x)= log(2 ,x)}}} ->transformed to {{{f(x) = log(2(x-5)-2)}}}

recall:

{{{f(x) = log(2,x+c)+d}}} 

{{{c}}}-> horizontal shift {{{c}}} units  in the opposite direction of the sign on{{{ c}}}
 {{{c>0}}}->horizontal shift left
{{{c<0}}}->horizontal shift right

{{{d}}}->shift up ({{{d>0}}}) or shift down ({{{d<0}}})

you have: 

{{{c=-5}}}->horizontal shift {{{5}}} units right
{{{d=-2}}}->shift {{{2}}} down 


so, answer is: C.