(q,2) is point on the graph so setting x to q and y to 2 you get $2 = \log_3 (q-4) $. Solve for q. Which you do by rising three to each side to get $3^2 = x+4$. That's all.
– fleabloodApr 30 '16 at 08:07
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It's just $3^y=x-4$ so as $q,2$ lies on it we have $9=q-4$ thus $q=13$