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Assignment:Find the solution set of inequality (lgx÷lg3)^2-20(lgx÷lg3) ≥20*(lg2÷lg3)-3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( lg x ÷ lg 3 ) ^ 2 - 20 * ( lg x ÷ lg 3 ) ≥20 * ( lg 2 ÷ lg 3 ) - 3 (1)
From the definition field of lg
x > 0 (2 )
From the definition field of lg
x > 0 (3 )
From inequality(1):
x ≤ 0.596768
From inequality(2):
x > 0
From inequality(3):
x > 0
From inequalities (1) and (2)
0 < x ≤ 0.596768 (4)
From inequalities (3) and (4)
0 < x ≤ 0.596768 (5)
The final solution set is :
0 < x ≤ 0.596768 Your problem has not been solved here? Please take a look at the hot problems !