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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,-x^2+72-6x)-log(3,5) <2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( 3 , - x ^ 2 + 72 - 6 * x ) - log( 3 , 5 ) <2 (1)
From the definition field of log
3 > 0 (2 )
- x ^ 2 + 72 - 6 * x > 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):
-12 < x < -11.944272 或 -11.944272 < x < 5.944272 或 5.944272 < x < 6
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)
-12 < x < -11.944272 或 -11.944272 < x < 5.944272 或 5.944272 < x < 6 (5)
The final solution set is :
-12 < x < -11.944272 或 -11.944272 < x < 5.944272 或 5.944272 < x < 6 Your problem has not been solved here? Please take a look at the hot problems !