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Assignment:Find the solution set of inequality asin(lnx) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
arcsin ( ln x ) >0 (1)
From the definition field of ln
x > 0 (2 )
From the definition field of arcsin
ln x ≥ -1 (3 )
ln x ≤ 1 (4 )
From inequality(1):
x > 1
From inequality(2):
x > 0
From inequality(3):
x ≥ 0.367879
From inequality(4):
x ≤ 2.718282
From inequalities (1) and (2)
x > 1 (5)
From inequalities (3) and (5)
x > 1 (6)
From inequalities (4) and (6)
1 < x ≤ 2.718282 (7)
The final solution set is :
1 < x ≤ 2.718282 Your problem has not been solved here? Please take a look at the hot problems !