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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality x^(1/8) >sqrt(lnx) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x ^ ( 1 / 8 ) > sqrt ( ln x ) (1)
From the definition field of ln
x > 0 (2 )
From the definition field of √
ln x ≥ 0 (3 )
From inequality(1):
x < 4.177077
From inequality(2):
x > 0
From inequality(3):
x ≥ 1
From inequalities (1) and (2)
0 < x < 4.177077 (4)
From inequalities (3) and (4)
1 ≤ x < 4.177077 (5)
The final solution set is :
1 ≤ x < 4.177077Your problem has not been solved here? Please take a look at the hot problems !