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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 log(3/7,(x+3^11)) ≤log(3/7,3) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 3 / 7 , ( x + 3 ^ 11 ) ) ≤ log( 3 / 7 , 3 ) (1)
From the definition field of log
3 / 7 > 0 (2 )
( x + 3 ^ 11 ) > 0 also ≠ 1 (3 )
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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (4)
From inequalities (3) and (4)
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (5)
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !