• 若2a=3b=6c=t(t>1),则a,b,c之间一定满足的关系是( )试题及答案-单选题-云返教育

    • 试题详情

      若2a=3b=6c=t(t>1),则a,b,c之间一定满足的关系是(  )

      试题解答


      C
      解:∵2a=3b=6c=t>1,
      ∴a=log
      2t,b=log3t,c=log6t,
      1
      a
      +
      1
      b
      =
      1
      log2t
      +
      1
      log2t
      =logt2+logt3=logt6=
      1
      log6t
      =
      1
      c

      故选:C.
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