Solutions: Exponential and Logarithmic Functions Practice Test

1. About 13 dolphins.

3. $1,947

5. y-intercept: (0, 5)
Graph of f(-x)=5(0.5)^-x in blue and f(x)=5(0.5)^x in orange.

7. 8.5a=614.125

9. x=(17)2=149

11. ln(0.716)0.334

13. Domain: < 3; Vertical asymptote: = 3; End behavior: x3,f(x) and x,f(x)

15. logt(12)

17. 3ln(y)+2ln(z)+ln(x4)3

19. x=ln(1000)ln(16)+532.497

21. a=ln(4)+810

23. no solution

25. x=ln(9)

27. x=±332

29. f(t)=112e.019792t; half-life: about 35 days

31. T(t)=36e0.025131t+35;T(60)43oF

33. logarithmic
Graph of the table’s values.

35. exponential; y=15.10062(1.24621)x
Graph of the table’s values.

37. logistic; y=18.416591+7.54644e0.68375x
Graph of the table’s values.