Mathematics
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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+56^tanx-x^101 >x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln x + 56 ^ tan x - x ^ 101 > x         (1)
        From the definition field of ln
        x > 0        (2 )

    From inequality(1):
         0.165915 < x < 1.07681 或  1.467206 < x < 1.570796 或  1.570796 < x < 7.834623 或  7.834623 < x < 7.853982 或  111.518085 < x < 111.526539 或  120.943006 < x < 120.951317
    From inequality(2):
         x > 0

    From inequalities (1) and (2)
         0.165915 < x < 1.07681 或  1.467206 < x < 1.570796 或  1.570796 < x < 7.834623 或  7.834623 < x < 7.853982 或  111.518085 < x < 111.526539 或  120.943006 < x < 120.951317     (3)

    The final solution set is :

         0.165915 < x < 1.07681 或  1.467206 < x < 1.570796 或  1.570796 < x < 7.834623 或  7.834623 < x < 7.853982 或  111.518085 < x < 111.526539 或  120.943006 < x < 120.951317




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