2. If $m>n>1$, then it must be true that ( ).
(A) $\log _{m} n>\log _{n} m>\log _{n}^{1} m$
(B) $\log _{\frac{1}{n}} m>\log _{n} m>\log _{m} n$
(C) $\log _{n} m>\log _{m} n>\log _{\frac{1}{n}} m$
(D) $\log _{n} m>\log _{\frac{1}{n}} m>\log _{m} n$
2. (C).

Take $m=100, n=10$ and substitute into the option to verify.