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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 (9^(n))/(4^(n)) >3(sqrt(3))/(4)*10^(6) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 9 ^ ( n ) ) / ( 4 ^ ( n ) ) >3 * ( sqrt ( 3 ) ) / ( 4 ) * 10 ^ ( 6 ) (1)
From the definition field of divisor
4 ^ ( x ) ≠ 0 (2 )
From inequality(1):
n < -19.931569 或 n > 17.359243
From inequality(2):
n < -542.062881 或 -542.062881 < n < -541.610247 或 -541.610247 < n < -541.157613 或 -541.157613 < n < -540.704979 或 -540.704979 < n < -540.252346 或 -540.252346 < n < -539.799712 或 -539.799712 < n < -539.347078 或 -539.347078 < n < -97001/180 或 -97001/180 < n < -538.441811 或 -538.441811 < n < -537.989177 或 n > -537.989177
From inequalities (1) and (2)
n < -542.062881 或 -542.062881 < n < -541.610247 或 -541.610247 < n < -541.157613 或 -541.157613 < n < -540.704979 或 -540.704979 < n < -540.252346 或 -540.252346 < n < -539.799712 或 -539.799712 < n < -539.347078 或 -539.347078 < n < -97001/180 或 -97001/180 < n < -538.441811 或 -538.441811 < n < -537.989177 或 -537.989177 < n < -19.931569 或 n > 17.359243 (3)
The final solution set is :
n < -542.062881 或 -542.062881 < n < -541.610247 或 -541.610247 < n < -541.157613 或 -541.157613 < n < -540.704979 或 -540.704979 < n < -540.252346 或 -540.252346 < n < -539.799712 或 -539.799712 < n < -539.347078 或 -539.347078 < n < -97001/180 或 -97001/180 < n < -538.441811 或 -538.441811 < n < -537.989177 或 -537.989177 < n < -19.931569 或 n > 17.359243Your problem has not been solved here? Please take a look at the hot problems !