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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(2,x) ≥2^x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 2 , x ) ≥2 ^ x (1)
From the definition field of log
2 > 0 (2 )
x > 0 also ≠ 1 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
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
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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