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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 log(a,2a) ≤0.75 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         log( a , 2 * a ) ≤0.75         (1)
        From the definition field of log
         x > 0        (2 )
         2 * x > 0 also ≠ 1        (3 )

    From inequality(1):
         a ≤ 0 或  1/16 ≤ a ≤ 1
    From inequality(2):
         a > 0
    From inequality(3):
         0 < a < 1/2 或  a > 1/2

    From inequalities (1) and (2)
         1/16 ≤ a ≤ 1    (4)
    From inequalities (3) and (4)
         1/16 ≤ a < 1/2 或  1/2 < a ≤ 1     (5)

    The final solution set is :

         1/16 ≤ a < 1/2 或  1/2 < a ≤ 1




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