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☆1 inequalities
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Assignment:Find the solution set of inequality 80+log(0.8,x-16) <= 68 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
80 + log( 0.8 , x - 16 ) <= 68 (1)
From the definition field of log
0.8 > 0 (2 )
x - 16 > 0 also ≠ 1 (3 )
From inequality(1):
x ≤ 16 或 x ≥ 30.551915
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):
16 < x < 17 或 x > 17
From inequalities (1) and (2)
x ≤ 16 或 x ≥ 30.551915 (4)
From inequalities (3) and (4)
x ≥ 30.551915 (5)
The final solution set is :
x ≥ 30.551915Your problem has not been solved here? Please take a look at the hot problems !