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Assignment:Find the solution set of inequality log((x+1),(x^2+x-6)^2) >= 4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( ( x + 1 ) , ( x ^ 2 + x - 6 ) ^ 2 ) >= 4 (1)
From the definition field of log
( x + 1 ) > 0 (2 )
( x ^ 2 + x - 6 ) ^ 2 > 0 also ≠ 1 (3 )
From inequality(1):
0 ≤ x ≤ 1
From inequality(2):
x > -1
From inequality(3):
x < -3.192582 或 -3.192582 < x < -3 或 -3 < x < -2.791288 或 -2.791288 < x < 1.791288 或 1.791288 < x < 2 或 2 < x < 2.192582 或 x > 2.192582
From inequalities (1) and (2)
0 ≤ x ≤ 1 (4)
From inequalities (3) and (4)
0 ≤ x ≤ 1 (5)
The final solution set is :
0 ≤ x ≤ 1Your problem has not been solved here? Please take a look at the hot problems !