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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(2.718,x) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln x > log( 2.718 , x )         (1)
        From the definition field of ln
        x > 0        (2 )
        From the definition field of log
         2.718 > 0        (3 )
         x > 0 并且 ≠ 1        (4 )

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

    From inequalities (1) and (2)
         0 < x < 1     (5)
    From inequalities (3) and (5)
         0 < x < 1     (6)
    From inequalities (4) and (6)
         0 < x < 1     (7)

    The final solution set is :

         0 < x < 1




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