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Assignment:Find the solution set of inequality n^(3/2) >n*log(2,n) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
n ^ ( 3 / 2 ) > n * log( 2 , n ) (1)
From the definition field of log
2 > 0 (2 )
x > 0 并且 ≠ 1 (3 )
From inequality(1):
n < 4 或 n > 16
From inequality(2):
n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
0 < n < 1 或 n > 1
From inequalities (1) and (2)
n < 4 或 n > 16 (4)
From inequalities (3) and (4)
0 < n < 1 或 1 < n < 4 或 n > 16 (5)
The final solution set is :
0 < n < 1 或 1 < n < 4 或 n > 16Your problem has not been solved here? Please take a look at the hot problems !