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[ 1/1Inequality]
Assignment:Find the solution set of inequality ln(x+5)/ln(x) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( x + 5 ) / ln ( x ) <1 (1)
From the definition field of ln
x + 5 > 0 (2 )
From the definition field of ln
x > 0 (3 )
From inequality(1):
x < 1
From inequality(2):
x > -5
From inequality(3):
x > 0
From inequalities (1) and (2)
-5 < x < 1 (4)
From inequalities (3) and (4)
0 < x < 1 (5)
The final solution set is :
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