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 log(x-2,x^2-8x+15) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         log( x - 2 , x ^ 2 - 8 * x + 15 ) >0         (1)
        From the definition field of log
         x - 2 > 0        (2 )
         x ^ 2 - 8 * x + 15 > 0 also ≠ 1        (3 )

    From inequality(1):
         x > 5.414214
    From inequality(2):
         x > 2
    From inequality(3):
         x < 2.585786 或  2.585786 < x < 3 或  5 < x < 5.414214 或  x > 5.414214

    From inequalities (1) and (2)
         x > 5.414214    (4)
    From inequalities (3) and (4)
         x > 5.414214    (5)

    The final solution set is :

         x > 5.414214




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