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

    From inequality(1):
         n < 0 或  1.099997 < n < √189740917/√100000
    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 inequality(4):
         n < 0 或  n > 0

    From inequalities (1) and (2)
         n < 0 或  1.099997 < n < √189740917/√100000     (5)
    From inequalities (3) and (5)
         1.099997 < n < √189740917/√100000     (6)
    From inequalities (4) and (6)
         1.099997 < n < √189740917/√100000     (7)

    The final solution set is :

         1.099997 < n < √189740917/√100000




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