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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 80+log(0.8,x-16) <= 68 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        80 + log( 0.8 , x - 16 ) <= 68         (1)
        From the definition field of log
         0.8 > 0        (2 )
         x - 16 > 0 also ≠ 1        (3 )

    From inequality(1):
         x ≤ 16 或  x ≥ 30.551915
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         16 < x < 17 或  x > 17

    From inequalities (1) and (2)
         x ≤ 16 或  x ≥ 30.551915    (4)
    From inequalities (3) and (4)
         x ≥ 30.551915    (5)

    The final solution set is :

         x ≥ 30.551915




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