次の\fbox{}の中を適当に補いなさい．
(1) 不等式$4 \log_{\frac{1}{4}}(x-4)+\log_2(x-2)>0$を解くと\fbox{}．
(2) 下図において，地点Aから地点Bへの最短経路の総数は\fbox{}． \setlength\unitlength{1truecm} \begin{center} \begin{picture}(5,3.5)(0,0) \put(0.5,0.5){\line(1,0){4}} \put(0.5,0.5){\line(0,1){2.5}} \put(4.5,3){\line(-1,0){4}} \put(4.5,3){\line(0,-1){2.5}} \put(1.5,0.5){\line(0,1){2.5}} \put(0.5,2.5){\line(1,0){4}} \put(0.5,2.0){\line(1,0){2}} \put(2.5,2.0){\line(0,-1){0.5}} \put(0.5,1.5){\line(1,0){4}} \put(0.5,1.0){\line(1,0){2}} \put(2.5,0.5){\line(0,1){0.5}} \put(2.5,2.5){\line(0,1){0.5}} \put(3.5,2.5){\line(0,1){0.5}} \put(3.5,0.5){\line(0,1){1}} \put(3.5,1.0){\line(1,0){1}} \put(0.4,0){地点A} \put(3.8,3.2){地点B} \put(0.5,0.5){\circle*{0.2}} \put(4.5,3){\circle*{0.2}} \end{picture} \end{center}
(3) $2010!=2^nm \ (m \text{は奇数})$のとき，自然数$n$を求めると$n=\fbox{}$．