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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,1/2) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( a , 1 / 2 ) <1 (1)
From the definition field of log
x > 0 (2 )
1 / 2 > 0 also ≠ 1 (3 )
From inequality(1):
a < 1/2 或 a > 1
From inequality(2):
a > 0
From inequality(3):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
0 < a < 1/2 或 a > 1 (4)
From inequalities (3) and (4)
0 < a < 1/2 或 a > 1 (5)
The final solution set is :
0 < a < 1/2 或 a > 1Your problem has not been solved here? Please take a look at the hot problems !