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