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[ 1/1Inequality]
Assignment:Find the solution set of inequality ln(x-ln(x-ln(x-ln(x-1)))) <10000 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( x - ln ( x - ln ( x - ln ( x - 1 ) ) ) ) <10000 (1)
From the definition field of ln
x - 1 > 0 (2 )
From the definition field of ln
x - ln ( x - 1 ) > 0 (3 )
From the definition field of ln
x - ln ( x - ln ( x - 1 ) ) > 0 (4 )
From the definition field of ln
x - ln ( x - ln ( x - ln ( x - 1 ) ) ) > 0 (5 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x > 1
From inequality(3):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(4):
x > 1.137785
From inequality(5):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x > 1 (6)
From inequalities (3) and (6)
x > 1 (7)
From inequalities (4) and (7)
x > 1.137785 (8)
From inequalities (5) and (8)
x > 1.137785 (9)
The final solution set is :
x > 1.137785Your problem has not been solved here? Please take a look at the hot problems !