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Gaokao Math Practice Question

若 $a>b>1,0<c<1$, 则 ($\qquad$)

  1. A.$a^{c}<b^{c}$
  2. B.$a b^{c}<b a^{c}$
  3. C.$a \log _{b} c<b \log _{a} c$
  4. D.$\log _{a} c<\log _{b} c$

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