Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality log(x,2x) >log(2x,3x) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         log( x , 2 * x ) > log( 2 * x , 3 * x )         (1)
        From the definition field of log
         x > 0        (2 )
         2 * x > 0 also ≠ 1        (3 )
        From the definition field of log
         2 * x > 0        (4 )
         3 * x > 0 并且 ≠ 1        (5 )

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    From inequality(1)：
         0.188231 < x < 0.5 或  x ＞ 1
    From inequality(2)：
         x ＞ 0
    From inequality(3)：
         0 < x < 1/2 或  x ＞ 1/2
    From inequality(4)：
         x ＞ 0
    From inequality(5)：
         0 < x < 1/3 或  x ＞ 1/3

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    From inequalities (1) and (2)
         0.188231 < x < 0.5 或  x ＞ 1    (6)
    From inequalities (3) and (6)
         0.188231 < x < 1/2 或  x ＞ 1    (7)
    From inequalities (4) and (7)
         0.188231 < x < 1/2 或  x ＞ 1    (8)
    From inequalities (5) and (8)
         0.188231 < x < 1/3 或  1/3 < x < 1/2 或  x ＞ 1    (9)

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    The final solution set is :
         0.188231 < x < 1/3 或  1/3 < x < 1/2 或  x ＞ 1

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