• 计算下列各式的值(1)4x14(-3x14y13)÷(-6x-12y23)(2)log535+log12√2-log5150-log514.试题及答案-解答题-云返教育

    • 试题详情

      计算下列各式的值
      (1)4x
      1
      4
      (-3x
      1
      4
      y
      1
      3
      )÷(-6x-
      1
      2
      y
      2
      3
      )
      (2)log
      535+log
      1
      2
      2
      -log5
      1
      50
      -log514.

      试题解答


      见解析
      解:(1)∵原式=[4×(-3)÷(-6)]x
      1
      4
      +
      1
      4
      +
      1
      2
      ?y
      1
      3
      -
      2
      3
      =2xy
      1
      3

      (2)原式=log
      535-log2
      2
      +log550-log514
      =-
      1
      2
      +log5
      35×50
      14

      =-
      1
      2
      +log553
      =-
      1
      2
      +3=
      5
      2
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