• 设函数f(x)=logax(a>0且a≠1),若f(x1?x2?x3…x2015)=50,则f(x12)+f(x22)+f(x32)+…+f(x20152)的值等于( )试题及答案-单选题-云返教育

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      设函数f(x)=logax(a>0且a≠1),若f(x1?x2?x3…x2015)=50,则f(x12)+f(x22)+f(x32)+…+f(x20152)的值等于(  )

      试题解答


      B
      解:∵f(x1?x2?x3…x2015)=50,
      ∴log
      a(x1x2…xn)=50
      ∵f(x
      12)+f(x22)+f(x32)+…+f(x20152)=loga(x
      2
      1
      x
      2
      2
      x
      2
      2015
      )=2loga(x1x2…xn)=100.
      故选:B.
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