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