1

1. Evaluate the function at the indicated value of x.Round your result to three decimal places.
2. Function: f(x) = 0.5^xValue: x = 1.7
3. -0.308
4. 1.7
5. 0.308
6. 0.5
7. -1.7

5 points

Question 2

1. Match the graph with its exponential function.
3. y = 2^-x - 3
4. y = -2^x + 3
5. y = 2^x + 3
6. y = 2^x - 3
7. y = -2^x - 3

5 points

Question 3

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

5 points

Question 4

1. Evaluate the function at the indicated value of x.Round your result to three decimal places.
2. Function: f(x) = 500e^0.05xValue: x=17
3. 1169.823
4. 1369.823
5. 1569.823
6. 1269.823
7. 1469.823

5 points

Question 5

1. Use the One-to-One property to solve the equation for x.
2. e^3x+5 = e⁶
3. x = -¹/₃
4. x² = 6
5. x = -3
6. x = ¹/₃
7. x = 3

5 points

Question 6

1. Write the logarithmic equation in exponential form.
2. log₈ 64 = 2
3. 64⁸ = 2
4. 8² = 16
5. 8² = 88
6. 8² = 64
7. 8⁶⁴ = 2

5 points

Question 7

1. Write the logarithmic equation in exponential form.
2. log₇ 343 = 3
3. 7³⁴³ = 2
4. 7³ = 77
5. 7³ = 343
6. 7³ = 14
7. 343⁷ = 2

5 points

Question 8

1. Write the exponential equation in logarithmic form.
2. 4³ = 64
3. log₆₄ 4 = 3
4. log₄ 64 = 3
5. log₄ 64 = -3
6. log₄ 3 = 64
7. log₄ 64 = ¹/₃

5 points

Question 9

1. Use the properties of logarithms to simplify the expression.
2. log₂₀ 20⁹
3. 0
4. -¹/₉
5. ¹/₉
6. -9
7. 9

5 points

Question 10

1. Use the One-to-One property to solve the equation for x.
2. log₂(x+4) = log₂ 20
3. 19
4. 17
5. 18
6. 16
7. 20

5 points

Question 11

1. Find the exact value of the logarithmic expression.
2. log₆ 36
3. 2
4. 6
5. 36
6. -2
7. 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.)
2. log₃ 9x
4. log₃ 9 x log₃ x
5. log₃ 9 + log₃ x
6. log₃ 9 log₃
7. none of these

5 points

Question 13

1. Condense the expression to a logarithm of a single quantity.
2. log_x - 2log_y + 3log_z

5 points

Question 14

1. Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places.
2. log₄ 9
3. 1.585
4. 5.585
5. 3.585
6. 4.585
7. 2.585

5 points

Question 15

1. Determine whether the given x-value is a solution (or an approximate solution) of the equation.
2. 4^2x-7 = 16
3. x = 5
4. no
5. yes

5 points

Question 16

1. Solve for x.
2. 3^x = 81
3. 7
4. 3
5. 4
6. -4
7. -3

5 points

Question 17

1. Solve the exponential equation algebraically.Approximate the resulte to three decimal places.
2. e^5x = e^x2-14
3. -7, -2
4. 7, -2
5. 5, -14
6. 7, 2
7. -7, 2

5 points

Question 18

1. Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
2. log₃(6x-8) = log₃(5x + 10)
3. 18
4. 20
5. 17
6. 19
7. -2

5 points

Question 19

1. Find the magnitude R of each earthquake of intensity I (let I₀=1).
2. I = 19000
3. 3.28
4. 5.28
5. 4.28
6. 2.38
7. 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.)
2. r = 0.0570
3. 13.16 years
4. 10.16 years
5. 11.16 years
6. 12.16 years
7. 14.16 years