Question 1

Approximate the common logarithm using the calculator. Round your answer to two decimal places.
Log 332

Accepted Answer

A)  2.52 
B)  3,320 
C)  5.81 
D)  902.47 
A)  2.52 
B)  3,320 
C)  5.81 
D)  902.47

Question 2

Solve the exponential equation exactly for x.

Accepted Answer

A)  -4 
B)  -4, 4 
C)  2 
D)  -2, 2 
A)  -4 
B)  -4, 4 
C)  2 
D)  -2, 2

Question 3

An cherry pie is taken out of the oven with an internal temperature of 348ºF. It is placed on a rack in a room with a temperature of 73ºF. After 21 minutes, the temperature of the pie is 240ºF. What will be the temperature of the pie 35 minutes after coming out of the oven? Round to one decimal place.

Accepted Answer

A)  192.8ºF 
B)  187.3ºF 
C)  704.5ºF 
D)  356.7ºF 
A)  192.8ºF 
B)  187.3ºF 
C)  704.5ºF 
D)  356.7ºF

Question 4

Given f(x) = 43x - 1 , find f(1.36). Round your answer to two decimal places.

Accepted Answer

Question 5

Given
 
, evaluate f(-0.1). Round your answer to two decimal places.

Accepted Answer

A)  -0.60 
B)  0.24 
C)  0.70 
D)  8.59 
A)  -0.60 
B)  0.24 
C)  0.70 
D)  8.59

Question 6

Solve the exponential equation. Round your answer to two decimal places.
3 4x - 1 = 24

Accepted Answer

A)  0.77 
B)  0.97 
C)  2.25 
D)  0.55 
A)  0.77 
B)  0.97 
C)  2.25 
D)  0.55

Question 7

A radioactive isotope of indium-111, 111 In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

Accepted Answer

Question 8

Write the exponential equation in its equivalent logarithmic form.
2 = 161/4

Accepted Answer

A)  ln 16 = 2 
B)    
C)    
D)    
A)  ln 16 = 2 
B)    
C)    
D)

Question 9

Write the expression as a single logarithm.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Match the function with the graph and the model name.
Exponential decay

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Accepted Answer

The answer of Evaluate exactly (without using a calculator). For...

Question 12

Given
 
, evaluate f(0.4). Round your answer to two decimal places.

Accepted Answer

A)  9.20 
B)  24.25 
C)  42.22 
D)  2.30 
A)  9.20 
B)  24.25 
C)  42.22 
D)  2.30

Question 13

Approximate the common logarithm using the calculator. Round your answer to two decimal places.
Log 0.0051

Accepted Answer

A)  -5.28 
B)  -2.29 
C)  0.01 
D)  0.051 
A)  -5.28 
B)  -2.29 
C)  0.01 
D)  0.051

Question 14

27. If a seismologist records the energy of P waves as 4.7 x 1012 joules and the energy of S waves as 3.4 x 109 joules, what is the total energy? What would the combined effect be on the Richter scale?

Accepted Answer

A)  Total energy is 4.7 x 1012 joules and 5.5 on the Richter scale 
B)  Total energy is 8.1 x 1021.0 joules and 5.5 on the Richter scale 
C)  Total energy is 1.3 x 103 joules and 5.5 on the Richter scale 
D)  Total energy is 1.6 x 1022.0 joules and 5.5 on the Richter scale 
A)  Total energy is 4.7 x 1012 joules and 5.5 on the Richter scale 
B)  Total energy is 8.1 x 1021.0 joules and 5.5 on the Richter scale 
C)  Total energy is 1.3 x 103 joules and 5.5 on the Richter scale 
D)  Total energy is 1.6 x 1022.0 joules and 5.5 on the Richter scale

Question 15

Phytoplankton are microscopic plants that live in the ocean. Phytoplankton grow abundantly in oceans around the world and are the foundation of the marine food chain. One variety of phytoplankton growing in tropical waters is increasing at a rate of 8% per month. If it is estimated that there are 80 million in the water, how many will there be in 7 months? Utilize formula N = N0ert, where N represents the population of phytoplankton. Round to the nearest million.

Accepted Answer

A)  290 millions 
B)  140 millions 
C)  4,480 millions 
D)  20 millions 
A)  290 millions 
B)  140 millions 
C)  4,480 millions 
D)  20 millions

Question 16

Solve the exponential equation. Round your answer to two decimal places.
2(104x) = 30

Accepted Answer

A)  1.23 
B)  0.68 
C)  3.75 
D)  0.29 
A)  1.23 
B)  0.68 
C)  3.75 
D)  0.29

Question 17

Approximate the natural logarithm using a calculator. Round your answer to two decimal places.
Ln 23

Accepted Answer

A)  1.36 
B)  62.52 
C)  3.14 
D)  230 
A)  1.36 
B)  62.52 
C)  3.14 
D)  230

Question 18

In 2001, the population of Pleasantville was 62,500. Their population increases by 1.4% per year. What is the expected population of Pleasantville in 2025? Round your answer to the nearest whole number.

Accepted Answer

A)  120,683 
B)  63,375 
C)  87,459 
D)  24,959 
A)  120,683 
B)  63,375 
C)  87,459 
D)  24,959

Question 19

A city experienced a major earthquake. The energy released measured 6.1 X 1017 joules. Calculate the magnitude of the earthquake using the Richter scale.

Accepted Answer

A)  13.4 
B)  8.9 
C)  20.5 
D)  14.8 
A)  13.4 
B)  8.9 
C)  20.5 
D)  14.8

Question 20

In 2001 the population of Mountainville was 6,900. Their population increases by 0.27% per year. What is the expected population of Mountainville in 2015? Round your answer to the nearest whole number.

Accepted Answer

The answer of In 2001 the population of Mountainville was...

Approximate the common logarithm using the calculator. Round your answer to two decimal places. Log 332

Solve the exponential equation exactly for x.

Given f(x) = 4³^{x -}¹ , find f(1.36). Round your answer to two decimal places.

Given , evaluate f(-0.1). Round your answer to two decimal places.

Solve the exponential equation. Round your answer to two decimal places. 3 ⁴^x^{- 1} = 24

A radioactive isotope of indium-111, ¹¹¹ In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

Write the exponential equation in its equivalent logarithmic form. 2 = 16^1/4

Write the expression as a single logarithm.

Match the function with the graph and the model name. Exponential decay

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Given , evaluate f(0.4). Round your answer to two decimal places.

Approximate the common logarithm using the calculator. Round your answer to two decimal places. Log 0.0051

27. If a seismologist records the energy of P waves as 4.7 x 10¹² joules and the energy of S waves as 3.4 x 10⁹ joules, what is the total energy? What would the combined effect be on the Richter scale?

Solve the exponential equation. Round your answer to two decimal places. 2(10⁴^x) = 30

Approximate the natural logarithm using a calculator. Round your answer to two decimal places. Ln 23

In 2001, the population of Pleasantville was 62,500. Their population increases by 1.4% per year. What is the expected population of Pleasantville in 2025? Round your answer to the nearest whole number.

A city experienced a major earthquake. The energy released measured 6.1 X 10¹⁷ joules. Calculate the magnitude of the earthquake using the Richter scale.

In 2001 the population of Mountainville was 6,900. Their population increases by 0.27% per year. What is the expected population of Mountainville in 2015? Round your answer to the nearest whole number.

Functions and Their Graphs

Polynomial and Rational Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 3: Exponential and Logarithmic Functions

Approximate the common logarithm using the calculator. Round your answer to two decimal places. Log 332

Solve the exponential equation exactly for x.

Given f(x) = 43x - 1 , find f(1.36). Round your answer to two decimal places.

Given , evaluate f(-0.1). Round your answer to two decimal places.

Solve the exponential equation. Round your answer to two decimal places. 3 4x - 1 = 24

A radioactive isotope of indium-111, 111 In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

Write the exponential equation in its equivalent logarithmic form. 2 = 161/4

Write the expression as a single logarithm.

Match the function with the graph and the model name. Exponential decay

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Given , evaluate f(0.4). Round your answer to two decimal places.

Approximate the common logarithm using the calculator. Round your answer to two decimal places. Log 0.0051

27. If a seismologist records the energy of P waves as 4.7 x 1012 joules and the energy of S waves as 3.4 x 109 joules, what is the total energy? What would the combined effect be on the Richter scale?

Solve the exponential equation. Round your answer to two decimal places. 2(104x) = 30

Approximate the natural logarithm using a calculator. Round your answer to two decimal places. Ln 23

In 2001, the population of Pleasantville was 62,500. Their population increases by 1.4% per year. What is the expected population of Pleasantville in 2025? Round your answer to the nearest whole number.

A city experienced a major earthquake. The energy released measured 6.1 X 1017 joules. Calculate the magnitude of the earthquake using the Richter scale.

In 2001 the population of Mountainville was 6,900. Their population increases by 0.27% per year. What is the expected population of Mountainville in 2015? Round your answer to the nearest whole number.

Functions and Their Graphs

Polynomial and Rational Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Given f(x) = 4³^{x -}¹ , find f(1.36). Round your answer to two decimal places.

Solve the exponential equation. Round your answer to two decimal places. 3 ⁴^x^{- 1} = 24

A radioactive isotope of indium-111, ¹¹¹ In, used as a diagnostic tool for locating tumors associated with prostate cancer, has a half-life of 2.807 days. If 250 milligrams are given to a patient, how many milligrams will be left after 12 days?

Write the exponential equation in its equivalent logarithmic form. 2 = 16^1/4

27. If a seismologist records the energy of P waves as 4.7 x 10¹² joules and the energy of S waves as 3.4 x 10⁹ joules, what is the total energy? What would the combined effect be on the Richter scale?

Solve the exponential equation. Round your answer to two decimal places. 2(10⁴^x) = 30

A city experienced a major earthquake. The energy released measured 6.1 X 10¹⁷ joules. Calculate the magnitude of the earthquake using the Richter scale.