What is an exponential equation how do you get exponential

Question

Use a calculator to find each value to four decimal places.

1. ln 12/5

2. log 2.57

3. log 6.31

4. ln 2/3  

5. log y = 0.43

6. log y = 1.4

7. ln y = -2.49  

Find each value for the given function: f(x) = (1/8)^x 

8. f(x) = 3

9. f(x) = -2

Write each equation in exponential form. Make it look like the next set.

10. log₈₁ 1/3 = -(1/4)  

11. log_1/4 64 = -3  

Write each equation in logarithmic form.  Make it look like the previous set.

12. 16^-0.5 = 1/4 

13. 16^1/4 = 2  

Find the value of x. 

14. log_x 1/64 = 3

15. log₃ x = -4 

16. The growth of a town's population is modeled by P = 160e^0.03t. How large will the population by when t=16?

Solve the system of equations. 

17.  3x + 4y = -1

       6x - 2y = 3                                                                                                                                                                  

18.  -35x + 40 y = 55                                                                                                                                        

        7x = 8y - 11

Graph.

19. f(x) = (2/5)^x

20. g(x) = 2^x   

Using Pascal's Triangle...  Show your work for full credit.  Circle your final answer

21. (5m² - 2n³)⁴ =   

22. What is an exponential equation?

23. How do you get exponential growth?

24. How is that different than exponential decay?