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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 log(x-2,x^2-8x+15) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
log( x - 2 , x ^ 2 - 8 * x + 15 ) >0 (1)
From the definition field of log
x - 2 > 0 (2 )
x ^ 2 - 8 * x + 15 > 0 also ≠ 1 (3 )
From inequality(1):
x > 5.414214
From inequality(2):
x > 2
From inequality(3):
x < 2.585786 或 2.585786 < x < 3 或 5 < x < 5.414214 或 x > 5.414214
From inequalities (1) and (2)
x > 5.414214 (4)
From inequalities (3) and (4)
x > 5.414214 (5)
The final solution set is :
x > 5.414214Your problem has not been solved here? Please take a look at the hot problems !