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