# Tag Archives: solutions

# Solutions to Midterm Exam Review

1. 3

2. -2

3. -4

4. 4

5. 2

6. 3

7. 0

8. 3

9. 2

10. 0

11.

12. -48

13.

14.

15.

16.

17. x<-1

18.

19. x=5

20. x=2

21.

22. x=(3,103)

23. x=(1.5,5)

25. x=8

26.

27.

28.

29.

30.

31.

32. x=1

33. hours

34.

35.

36. Logarithmic scales allow us to express a huge range of intensity using manageable numbers.

37. is larger because , which is less than 9, and , which is greater than 30. So must be more than 3 and must be less than 3.

40. a. Rational functions can have vertical asymptotes, horizontal asymptotes, slant asymptotes, and curvilinear asymptotes.

b. All exponential functions have horizontal asymptotes but no other asymptotes.

c. All logarithmic functions have vertical asymptotes but no other asymptotes.

43. Horizontal asymptote at y=2. Vertical asymptotes at x=2 and x=-3.

46. Horizontal asymptote at y=-4. Vertical asymptotes at x=2 and x=-2.

# Solutions to logarithmic equations classwork

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