Overview: 3 questions will be solved this time.Among them
☆1 inequalities
☆1 equations
☆1 arithmetic calculations
[1/3 Formula]
Work: Calculate the value of equation lg2+ln5 .
Question type: Mathematical calculation
Solution:
lg2+ln5
=0.30103+ln5
=0.30103+1.609438
=1.910468 Answer:lg2+ln5=1.910468[ 2/3 Equation]
Work: Find the solution of equation lgx+lnx = 0 .
Question type: Equation
Solution:
the solutions is:
x=1
There are 1 solution(s).
解方程的详细方法请参阅:《方程的解法》[ 3/3Inequality]
Assignment:Find the solution set of inequality lgx+lnx <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
lg x + ln x <0 (1)
From the definition field of lg
x > 0 (2 )
From the definition field of ln
x > 0 (3 )
From inequality(1):
x < 1
From inequality(2):
x > 0
From inequality(3):
x > 0
From inequalities (1) and (2)
0 < x < 1 (4)
From inequalities (3) and (4)
0 < x < 1 (5)
The final solution set is :
0 < x < 1 Your problem has not been solved here? Please go to the Hot Problems section!