# MAth problems and show ALL WORK

1. Select the graph of the function. f(x)= 5 x^-1

2. Use the One-to-One Property to solve the equation for x+ e 3x^+5= e x^6.

3. Match the graph with its exponential function.

4. Select the graph of the exponential function. f(x)=3^x+1-4

5. Evaluate the function at the indicated value of x. Round your result to three decimal places.*Function **Value *

*F(x)=0.5* x^* x=1.7*

6. Evaluate the function at the indicated value of x=0.57. Round your result to three decimal places. F(x)=91nx

7. Select the graph of the function. f(x)= 1n(x+9

8. Write the exponential equation in logarithmic form. 4^3=64

9. Write the exponential equation in logarithmic form. 27^2=729

10.Evaluate the function at the indicated value of x=1 F(x)log3x.

11.Evaluate the function at the indicated value of log6 0.4.

12.Rewrite the logarithm as a ratio of common logarithmsto the logarithm of a single term. Log5 19

13. Condense the expression 7(logx – logy) to the logarithm of a single term.

14. Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. Log4 9

15. Solve the exponential equation algebraically. Approximate the result to three decimal places. e x^3= e x^2=18

16. Solve for x. Approximate the result to three decimal places.1nx=-3

17. Solve for x. Approximate the result to three decimal places. logx=-3

18. Solve for x. Approximate the result to three decimal places. 1nx-1n5=0

19. $7000 is invested in an account at interest rate*r,*compounded continuously. Find the time required for the amount to triple. (Approximate the result to two decimal places.) r=0.04

20. $6000 is invested in an account at interest rate*r,*compounded continuously. Find the time required f or the amount to double. (Approximate the result to two decimal places.) r=0.02