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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 lnx >log(x,lnx) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln x > log( x , ln x )         (1)
        From the definition field of ln
        x > 0        (2 )
        From the definition field of ln
        x > 0        (3 )
        From the definition field of log
         x > 0        (4 )
         ln x > 0 并且 ≠ 1        (5 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x > 0
    From inequality(3):
         x > 0
    From inequality(4):
         x > 0
    From inequality(5):
         1 < x < 2.718282 或  x > 2.718282

    From inequalities (1) and (2)
         x > 0    (6)
    From inequalities (3) and (6)
         x > 0    (7)
    From inequalities (4) and (7)
         x > 0    (8)
    From inequalities (5) and (8)
         1 < x < 2.718282 或  x > 2.718282    (9)

    The final solution set is :

         1 < x < 2.718282 或  x > 2.718282




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