Question 1. Evaluate the function at the indicated value of x. Round your result to three decimal places.

Function: f(x) = 0.5x Value: x = 1.7

-0.308

1.7

0.308

0.5

-1.7

Question 2. Match the graph with its exponential function.

y = 2-x - 3
y = -2x + 3
y = 2x + 3
y = 2x - 3
y = -2x - 3

Question 3. Evaluate the function at the indicated value of x. Round your result to three decimal places.

Function: f(x) = 500e0.05x Value: x=17

1169.823

1369.823

1569.823

1269.823

1469.823
 
Question 4. Use the One-to-One property to solve the equation for x.

e3x+5 = 36

x = -1/3

x2 = 6

x = -3

x = 1/3

x = 3
 
Question 5. Write the logarithmic equation in exponential form.

log8 64 = 2

648 = 2

82 = 16

82 = 88

82 = 64

864 = 2
 
Question 6. Write the logarithmic equation in exponential form.

log7 343 = 3

7343 = 2

73 = 77

73 = 343

73 = 14

3437 = 2

Question 7. Write the exponential equation in logarithmic form.
43 = 64

log64 4 = 3

log4 64 = 3

log4 64 = -3

log4 3 = 64

log4 64 = 1/3

Question 8. Use the properties of logarithms to simplify the expression.
log20 209

0

-1/9

1/9

-9

9

Question 9. Use the One-to-One property to solve the equation for x.
log2(x+4) = log2 20

19

17

18

16

20

Question 10. Find the exact value of the logarithmic expression.
log6 36

2

6

36

-2

none of these

Question 11. Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
log3 9x

log3 9 x log3 x

log3 9 + log3 x

log3 9 log3

none of these

Question 12. Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.
log4 9

1.585

5.585

3.585

4.585

2.585
 
Question 13. Determine whether the given x-value is a solution (or an approximate solution) of the equation.
42x-7 = 16
x = 5

no

yes

Question 14. Solve for x.
3x = 81

7

3

4

-4

-3

Question 15. Solve the exponential equation algebraically. Approximate the resulte to three decimal places.
e5x = ex2-14

-7, -2

7, -2

5, -14

7, 2

-7, 2

Question 16. Solve the logarithmic equation algebraically. Approximate the result to three decimal places.
log3(6x-8) = log3(5x + 10)

18

20

17

19

-2

Question 17. Find the magnitude R of each earthquake of intensity I (let I0=1).
I = 19000

3.28

5.28

4.28

2.38

6.28
 
Question 18. $2500 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
r = 0.0570

13.16 years

10.16 years

11.16 years

12.16 years

14.16 years