QUESTION 1
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 |
5 points
QUESTION 2
1. Match the graph with its exponential function.
| y = 2-x – 3 | ||
| y = -2x + 3 | ||
| y = 2x + 3 | ||
| y = 2x – 3 | ||
| y = -2x – 3 |
5 points
QUESTION 3
1. Select the graph of the function.
f(x) = 5x-1
5 points
QUESTION 4
1. 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 |
5 points
QUESTION 5
1. 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 |
5 points
QUESTION 6
1. Write the logarithmic equation in exponential form.
log8 64 = 2
| 648 = 2 | ||
| 82 = 16 | ||
| 82 = 88 | ||
| 82 = 64 | ||
| 864 = 2 |
5 points
QUESTION 7
1. Write the logarithmic equation in exponential form.
log7 343 = 3
| 7343 = 2 | ||
| 73 = 77 | ||
| 73 = 343 | ||
| 73 = 14 | ||
| 3437 = 2 |
5 points
QUESTION 8
1. 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 |
5 points
QUESTION 9
1. Use the properties of logarithms to simplify the expression.
log20 209
| 0 | ||
| -1/9 | ||
| 1/9 | ||
| -9 | ||
| 9 |
5 points
QUESTION 10
1. Use the One-to-One property to solve the equation for x.
log2(x+4) = log2 20
| 19 | ||
| 17 | ||
| 18 | ||
| 16 | ||
| 20 |
5 points
QUESTION 11
1. Find the exact value of the logarithmic expression.
log6 36
| 2 | ||
| 6 | ||
| 36 | ||
| -2 | ||
| none of these |
5 points
QUESTION 12
1. 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 |
5 points
QUESTION 13
1. Condense the expression to a logarithm of a single quantity.
logx – 2logy + 3logz
5 points
QUESTION 14
1. 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 |
5 points
QUESTION 15
1. Determine whether the given x-value is a solution (or an approximate solution) of the equation.
42x-7 = 16
x = 5
| no | ||
| yes |
5 points
QUESTION 16
1. Solve for x.
3x = 81
| 7 | ||
| 3 | ||
| 4 | ||
| -4 | ||
| -3 |
5 points
QUESTION 17
1. 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 |
5 points
QUESTION 18
1. Solve the logarithmic equation algebraically. Approximate the result to three decimal places.
log3(6x-8) = log3(5x + 10)
| 18 | ||
| 20 | ||
| 17 | ||
| 19 | ||
| -2 |
5 points
QUESTION 19
1. 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 |
5 points
QUESTION 20
1. $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 |
