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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 lnx+56^tanx-x^101 >x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln x + 56 ^ tan x - x ^ 101 > x (1)
From the definition field of ln
x > 0 (2 )
From inequality(1):
0.165915 < x < 1.07681 或 1.467206 < x < 1.570796 或 1.570796 < x < 7.834623 或 7.834623 < x < 7.853982 或 111.518085 < x < 111.526539 或 120.943006 < x < 120.951317
From inequality(2):
x > 0
From inequalities (1) and (2)
0.165915 < x < 1.07681 或 1.467206 < x < 1.570796 或 1.570796 < x < 7.834623 或 7.834623 < x < 7.853982 或 111.518085 < x < 111.526539 或 120.943006 < x < 120.951317 (3)
The final solution set is :
0.165915 < x < 1.07681 或 1.467206 < x < 1.570796 或 1.570796 < x < 7.834623 或 7.834623 < x < 7.853982 或 111.518085 < x < 111.526539 或 120.943006 < x < 120.951317 Your problem has not been solved here? Please take a look at the hot problems !