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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality n^(3/2) >n*log(2,n) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         n ^ ( 3 / 2 ) > n * log( 2 , n )         (1)
        From the definition field of log
         2 > 0        (2 )
         x > 0 并且 ≠ 1        (3 )

    From inequality(1):
         n < 4 或  n > 16
    From inequality(2):
         n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         0 < n < 1 或  n > 1

    From inequalities (1) and (2)
         n < 4 或  n > 16    (4)
    From inequalities (3) and (4)
         0 < n < 1 或  1 < n < 4 或  n > 16    (5)

    The final solution set is :

         0 < n < 1 或  1 < n < 4 或  n > 16




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