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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 x^(1/8) >sqrt(lnx) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x ^ ( 1 / 8 ) > sqrt ( ln x )         (1)
        From the definition field of ln
        x > 0        (2 )
        From the definition field of √
         ln x ≥ 0        (3 )

    From inequality(1):
         x < 4.177077
    From inequality(2):
         x > 0
    From inequality(3):
         x ≥ 1

    From inequalities (1) and (2)
         0 < x < 4.177077     (4)
    From inequalities (3) and (4)
         1 ≤ x < 4.177077    (5)

    The final solution set is :

         1 ≤ x < 4.177077




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