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If $x>y>1,$ which of the following must be true?

1. $\text{ln } x > \text{ln }y$
2. $e^{x}>e^{y}$
3. $y^{x}>x^{y}$
4. $\cos x> \cos y$

1. $(i)$ and $(ii)$
2. $(i)$ and $(iii)$
3. $(iii)$ and $(iv)$
4. $(ii)$ and $(iv)$