Question 1

Write the logarithmic equation in its equivalent exponential form.
Log 10,000 = 4

Accepted Answer

A)  104 = 10,000 
B)  e4 = 10,000 
C)  410 = 10,000 
D)  10,0001/4 = 10 
A)  104 = 10,000 
B)  e4 = 10,000 
C)  410 = 10,000 
D)  10,0001/4 = 10

Question 2

If a seismologist records the energy of P waves as 4.7 x 1010 joules and the energy of S waves as 8.3 x 107 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 1010 joules and 4.2 on the Richter scale 
B)  Total energy is 1.3 x 1018joules and 9.1 on the Richter scale 
C)  Total energy is 3.7 x 103joules and -0.6 on the Richter scale 
D)  Total energy is 3.8 x 1018joules and 9.5 on the Richter scale 
A)  Total energy is 4.7 x 1010 joules and 4.2 on the Richter scale 
B)  Total energy is 1.3 x 1018joules and 9.1 on the Richter scale 
C)  Total energy is 3.7 x 103joules and -0.6 on the Richter scale 
D)  Total energy is 3.8 x 1018joules and 9.5 on the Richter scale

Question 3

If Ashley deposits $15,000.00 into a savings account that earns 2.4% interest per year compounded monthly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

Accepted Answer

A)  $17,320.77 
B)  $17,160.00 
C)  $12,986.44 
D)  $2,320.77 
A)  $17,320.77 
B)  $17,160.00 
C)  $12,986.44 
D)  $2,320.77

Question 4

28. A city experienced a major earthquake. The energy released measured 4.9 x 1015 joules. Calculate the magnitude of the earthquake using the Richter scale.

Accepted Answer

A)  11.3 
B)  7.5 
C)  17.3 
D)  13.4 
A)  11.3 
B)  7.5 
C)  17.3 
D)  13.4

Question 5

Find the y-intercept for the exponential function   
.

Accepted Answer

A)  (0, 7) 
B)  (0, -7) 
C)  (0, 8) 
D)  (0, 9) 
A)  (0, 7) 
B)  (0, -7) 
C)  (0, 8) 
D)  (0, 9)

Question 6

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.
Log 3 13

Accepted Answer

A)  2.33 
B)  0.43 
C)  3.66 
D)  1.59 
A)  2.33 
B)  0.43 
C)  3.66 
D)  1.59

Question 7

Approximate the number 2 2. Round your answer to two decimal places.

Accepted Answer

A)  0.25 
B)  4.00 
C)  -4.00 
D)  -0.25 
A)  0.25 
B)  4.00 
C)  -4.00 
D)  -0.25

Question 8

Graph the logarithmic function using transformation techniques.
f(x) =

Accepted Answer

The answer of Graph the logarithmic function using transformation techniques.
f(x)...

Question 9

Write the expression as a single logarithm.
4log u - log v - 6log z

Accepted Answer

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

Question 10

Approximate the number 
   
. Round your answer to two decimal places.

Accepted Answer

The answer of Approximate the number 
   
....

Question 11

Match the graph to the exponential function.

Accepted Answer

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

Question 12

Use the properties of logarithms to simplify the expression.

Accepted Answer

The answer of Use the properties of logarithms to simplify...

Question 13

Solve the logarithmic equation. Round the answer to two decimal places if necessary.

Accepted Answer

The answer of Solve the logarithmic equation. Round the answer...

Question 14

Write the expression as a single logarithm.
5log u + 2log v

Accepted Answer

A)  log (u5v2) 
B)  log (u5 + v2) 
C)  log (uv) 
D)  log (uv)10 
A)  log (u5v2) 
B)  log (u5 + v2) 
C)  log (uv) 
D)  log (uv)10

Question 15

Use the properties of logarithms to simplify the expression.

Accepted Answer

A)  3 
B)  1/3 
C)  1 
D)  0 
A)  3 
B)  1/3 
C)  1 
D)  0

Question 16

Match the graph to the logarithmic function.

Accepted Answer

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

Question 17

Solve the logarithmic equation. Round your answer to three decimal places.

Accepted Answer

A)  1.269, -1.269 
B)  316.228 
C)  12.182, -12.182 
D)  8.912, -8.912 
A)  1.269, -1.269 
B)  316.228 
C)  12.182, -12.182 
D)  8.912, -8.912

Write the logarithmic equation in its equivalent exponential form. Log 10,000 = 4

If a seismologist records the energy of P waves as 4.7 x 10¹⁰ joules and the energy of S waves as 8.3 x 10⁷ joules, what is the total energy? What would the combined effect be on the Richter scale?

If Ashley deposits $15,000.00 into a savings account that earns 2.4% interest per year compounded monthly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

28. A city experienced a major earthquake. The energy released measured 4.9 x 10¹⁵ joules. Calculate the magnitude of the earthquake using the Richter scale.

Find the y-intercept for the exponential function .

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places. Log ₃ 13

Approximate the number 2 ². Round your answer to two decimal places.

Graph the logarithmic function using transformation techniques. f(x) =

Write the expression as a single logarithm. 4log u - log v - 6log z

Approximate the number . Round your answer to two decimal places.

Match the graph to the exponential function.

Use the properties of logarithms to simplify the expression.

Solve the logarithmic equation. Round the answer to two decimal places if necessary.

Write the expression as a single logarithm. 5log u + 2log v

Use the properties of logarithms to simplify the expression.

Match the graph to the logarithmic function.

Solve the logarithmic equation. Round your answer to three decimal places.

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

Write the logarithmic equation in its equivalent exponential form. Log 10,000 = 4

If a seismologist records the energy of P waves as 4.7 x 1010 joules and the energy of S waves as 8.3 x 107 joules, what is the total energy? What would the combined effect be on the Richter scale?

If Ashley deposits $15,000.00 into a savings account that earns 2.4% interest per year compounded monthly, how much money can she expect to be in the account in 6 years? Round your answer to two decimal places.

28. A city experienced a major earthquake. The energy released measured 4.9 x 1015 joules. Calculate the magnitude of the earthquake using the Richter scale.

Find the y-intercept for the exponential function .

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places. Log 3 13

Approximate the number 2 2. Round your answer to two decimal places.

Graph the logarithmic function using transformation techniques. f(x) =

Write the expression as a single logarithm. 4log u - log v - 6log z

Approximate the number . Round your answer to two decimal places.

Match the graph to the exponential function.

Use the properties of logarithms to simplify the expression.

Solve the logarithmic equation. Round the answer to two decimal places if necessary.

Write the expression as a single logarithm. 5log u + 2log v

Use the properties of logarithms to simplify the expression.

Match the graph to the logarithmic function.

Solve the logarithmic equation. Round your answer to three decimal places.

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

If a seismologist records the energy of P waves as 4.7 x 10¹⁰ joules and the energy of S waves as 8.3 x 10⁷ joules, what is the total energy? What would the combined effect be on the Richter scale?

28. A city experienced a major earthquake. The energy released measured 4.9 x 10¹⁵ joules. Calculate the magnitude of the earthquake using the Richter scale.

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places. Log ₃ 13

Approximate the number 2 ². Round your answer to two decimal places.