Question 1

Find the y-intercept for the exponential function   
.

Accepted Answer

A)  (0, 13) 
B)  (0, -7) 
C)  (0, -1) 
D)  (0, -6) 
A)  (0, 13) 
B)  (0, -7) 
C)  (0, -1) 
D)  (0, -6)

Question 2

Match the function with the graph and the model name.

Accepted Answer

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

Question 3

State the domain of the logarithmic function f(x) = log9 (52 - x) in interval notation.

Accepted Answer

Question 4

If Vanessa deposits $8,000 in a savings account that earns 3.25% interest per year compounded continuously, how much money should she expect to be in the account in 8 years?

Accepted Answer

The answer of If Vanessa deposits $8,000 in a savings...

Question 5

Approximate the natural logarithm using a calculator. Round your answer to two decimal places.
Ln 0.001

Accepted Answer

A)  -3.00 
B)  0.01 
C)  0.00 
D)  -6.91 
A)  -3.00 
B)  0.01 
C)  0.00 
D)  -6.91

Question 6

Use the properties of logarithms to simplify the experssion.
Log 3 81

Accepted Answer

A)  3 
B)  81 
C)  4 
D)  1/4 
A)  3 
B)  81 
C)  4 
D)  1/4

Question 7

Write the expression as a single logarithm.
ln(x + 8) - 7ln(x - 5)

Accepted Answer

The answer of Write the expression as a single logarithm.
ln(x...

Question 8

29. A substance has an approximate hydrogen ion concentration of about 4.8 x 10-3.1 . Calculate its pH value.

Accepted Answer

A)  3.8 
B)  5.6 
C)  -3.8 
D)  2.4 
A)  3.8 
B)  5.6 
C)  -3.8 
D)  2.4

Question 9

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

Accepted Answer

A)  31.54 
B)  9.42 
C)  5.32 
D)  7.01 
A)  31.54 
B)  9.42 
C)  5.32 
D)  7.01

Question 10

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

Accepted Answer

A)  33.12 
B)  7.19 
C)  14.09 
D)  548.32 
A)  33.12 
B)  7.19 
C)  14.09 
D)  548.32

Question 11

The pH scale measures how acid or base a substance is. pH is defined as the negative logarithm of the hydrogen ion activity in an aqueous solution ah. Thus if ah = 0.01, then the pH = -log 0.01 = 2. Determine the pH of a liquid with ah = 0.00398107. Round your answer to the nearest hundredth.

Accepted Answer

Question 12

If money is invested in a savings account earning 5.3% interest compounded daily, how many years will pass until the money doubles?

Accepted Answer

A)  13.08 
B)  0.13 
C)  0.00 
D)  13.08. 
A)  13.08 
B)  0.13 
C)  0.00 
D)  13.08.

Question 13

Solve the exponential equation exactly for x.
4 2x + 1 = 262144

Accepted Answer

A)    
B)  -4 
C)  4 
D)    
A)    
B)  -4 
C)  4 
D)

Question 14

If 
   
, then
   
. Use the property to find the derivative of

Accepted Answer

The answer of If 
   
, then
 ...

Question 15

Write the logarithmic equation in its equivalent exponential form.

Accepted Answer

A)  16 -4 = 1/2 
B)  (1/2)-4 = 16 
C)  2 4 = 16 
D)  2 -4 = 16 
A)  16 -4 = 1/2 
B)  (1/2)-4 = 16 
C)  2 4 = 16 
D)  2 -4 = 16

Question 16

Write the exponential equation in its equivalent logarithmic form.
5 3 = 125

Accepted Answer

A)  ln 125 = 3 
B)    
C)    
D)  log 125 = 3 
A)  ln 125 = 3 
B)    
C)    
D)  log 125 = 3

Question 17

Graph the exponential function.

Accepted Answer

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

Question 18

State the y-intercept and horizontal asymptote, then graph the exponential function. Round the answer for the y-intercept to three decimal places.

Accepted Answer

y-intercep

Question 19

If Diane deposits $28,419 in a savings account that earns 3.5% interest per year compounded comtinuously, how much money should she expect to be in the account after 14 years?

Accepted Answer

A)  $42,344.31 
B)  $592,820.34 
C)  $46,388.79 
D)  $17,969.79 
A)  $42,344.31 
B)  $592,820.34 
C)  $46,388.79 
D)  $17,969.79

Question 20

Evaluate the logarithm using the change of base formula. Round your answer to two decimal places.
log4 89

Accepted Answer

Find the y-intercept for the exponential function .

Match the function with the graph and the model name.

State the domain of the logarithmic function f(x) = log₉ (52 - x) in interval notation.

If Vanessa deposits $8,000 in a savings account that earns 3.25% interest per year compounded continuously, how much money should she expect to be in the account in 8 years?

Approximate the natural logarithm using a calculator. Round your answer to two decimal places. Ln 0.001

Use the properties of logarithms to simplify the experssion. Log ₃ 81

Write the expression as a single logarithm. ln(x + 8) - 7ln(x - 5)

29. A substance has an approximate hydrogen ion concentration of about 4.8 x 10^-3.1 . Calculate its pH value.

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

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

The pH scale measures how acid or base a substance is. pH is defined as the negative logarithm of the hydrogen ion activity in an aqueous solution a_h. Thus if a_h = 0.01, then the pH = -log 0.01 = 2. Determine the pH of a liquid with a_h = 0.00398107. Round your answer to the nearest hundredth.

If money is invested in a savings account earning 5.3% interest compounded daily, how many years will pass until the money doubles?

Solve the exponential equation exactly for x. 4 ²^x^{+ 1}= 262144

If , then . Use the property to find the derivative of

Write the logarithmic equation in its equivalent exponential form.

Write the exponential equation in its equivalent logarithmic form. 5 ³ = 125

Graph the exponential function.

State the y-intercept and horizontal asymptote, then graph the exponential function. Round the answer for the y-intercept to three decimal places.

If Diane deposits $28,419 in a savings account that earns 3.5% interest per year compounded comtinuously, how much money should she expect to be in the account after 14 years?

Evaluate the logarithm using the change of base formula. Round your answer to two decimal places. log₄ 89

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

Find the y-intercept for the exponential function .

Match the function with the graph and the model name.

State the domain of the logarithmic function f(x) = log9 (52 - x) in interval notation.

If Vanessa deposits $8,000 in a savings account that earns 3.25% interest per year compounded continuously, how much money should she expect to be in the account in 8 years?

Approximate the natural logarithm using a calculator. Round your answer to two decimal places. Ln 0.001

Use the properties of logarithms to simplify the experssion. Log 3 81

Write the expression as a single logarithm. ln(x + 8) - 7ln(x - 5)

29. A substance has an approximate hydrogen ion concentration of about 4.8 x 10-3.1 . Calculate its pH value.

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

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

The pH scale measures how acid or base a substance is. pH is defined as the negative logarithm of the hydrogen ion activity in an aqueous solution ah. Thus if ah = 0.01, then the pH = -log 0.01 = 2. Determine the pH of a liquid with ah = 0.00398107. Round your answer to the nearest hundredth.

If money is invested in a savings account earning 5.3% interest compounded daily, how many years will pass until the money doubles?

Solve the exponential equation exactly for x. 4 2x + 1 = 262144

If , then . Use the property to find the derivative of

Write the logarithmic equation in its equivalent exponential form.

Write the exponential equation in its equivalent logarithmic form. 5 3 = 125

Graph the exponential function.

State the y-intercept and horizontal asymptote, then graph the exponential function. Round the answer for the y-intercept to three decimal places.

If Diane deposits $28,419 in a savings account that earns 3.5% interest per year compounded comtinuously, how much money should she expect to be in the account after 14 years?

Evaluate the logarithm using the change of base formula. Round your answer to two decimal places. log4 89

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

State the domain of the logarithmic function f(x) = log₉ (52 - x) in interval notation.

Use the properties of logarithms to simplify the experssion. Log ₃ 81

29. A substance has an approximate hydrogen ion concentration of about 4.8 x 10^-3.1 . Calculate its pH value.

The pH scale measures how acid or base a substance is. pH is defined as the negative logarithm of the hydrogen ion activity in an aqueous solution a_h. Thus if a_h = 0.01, then the pH = -log 0.01 = 2. Determine the pH of a liquid with a_h = 0.00398107. Round your answer to the nearest hundredth.

Solve the exponential equation exactly for x. 4 ²^x^{+ 1}= 262144

Write the exponential equation in its equivalent logarithmic form. 5 ³ = 125

Evaluate the logarithm using the change of base formula. Round your answer to two decimal places. log₄ 89