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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 log(2,n^2) <4*n^1/2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         log( 2 , n ^ 2 ) <4 * n ^ 1 / 2         (1)
        From the definition field of log
         2 > 0        (2 )
         x ^ 2 > 0 also ≠ 1        (3 )

    From inequality(1):
         n > -0.641186
    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):
         n < -1 或  -1 < n < 0 或  0 < n < 1 或  n > 1

    From inequalities (1) and (2)
         n > -0.641186    (4)
    From inequalities (3) and (4)
         -0.641186 < n < 0 或  0 < n < 1 或  n > 1    (5)

    The final solution set is :

         -0.641186 < n < 0 或  0 < n < 1 或  n > 1




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