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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality log(2x-3,10-3x) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 2 * x - 3 , 10 - 3 * x ) >0 (1)
From the definition field of log
2 * x - 3 > 0 (2 )
10 - 3 * x > 0 also ≠ 1 (3 )
From inequality(1):
2 < x < 3
From inequality(2):
x > 3/2
From inequality(3):
x < 3 或 3 < x < 10/3
From inequalities (1) and (2)
2 < x < 3 (4)
From inequalities (3) and (4)
2 < x < 3 (5)
The final solution set is :
2 < x < 3 Your problem has not been solved here? Please take a look at the hot problems !