Question 1

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

Accepted Answer

A)  0.333 
B)  -3.048 
C)  -3.237 
D)  -3.001 
A)  0.333 
B)  -3.048 
C)  -3.237 
D)  -3.001

Question 2

For the exponential function   
, state the y-intercept. Round your answer to two decimal places.

Accepted Answer

A)  (0, 10.72) 
B)  (0, 9) 
C)  (0, 8.37) 
D)  (0, 7) 
A)  (0, 10.72) 
B)  (0, 9) 
C)  (0, 8.37) 
D)  (0, 7)

Question 3

Solve the exponential equation exactly for x.
3 2x - 2 = 9

Accepted Answer

Question 4

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Accepted Answer

A)  0.916454 
B)  8.250 
C)  9.000 
D)  0.954243 
A)  0.916454 
B)  8.250 
C)  9.000 
D)  0.954243

Question 5

Solve the exponential equation exactly for x.
81x = 3

Accepted Answer

A)  1/4 
B)  4 
C)  27 
D)  1/27 
A)  1/4 
B)  4 
C)  27 
D)  1/27

Question 6

Write the expression as a sum or difference of logarithms.

Accepted Answer

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

Question 7

Write the expression as a sum or difference of logarithms.

Accepted Answer

A)  7logb x + logb y - 3logbz 
B)  7logb x + logb y + 3logbz 
C)  7logb x - logb y - 3logbz 
D)    
A)  7logb x + logb y - 3logbz 
B)  7logb x + logb y + 3logbz 
C)  7logb x - logb y - 3logbz 
D)

Question 8

Graph the exponential function.

Accepted Answer

The answer of Graph the exponential function.
  ...

Question 9

Graph the logarithmic function.

Accepted Answer

The answer of Graph the logarithmic function.
   
...

Question 10

State the domain of the logarithm function
 
In interval notation.

Accepted Answer

A)  (5,$\infty$) 
B)  (-$\infty$, 5) 
C)  (-$\infty$, 5] 
D)  (0,$\infty$) 
A)  (5,$\infty$) 
B)  (-$\infty$, 5) 
C)  (-$\infty$, 5] 
D)  (0,$\infty$)

Question 11

Graph the logarithmic function on a logarithmic scale.

Accepted Answer

The answer of Graph the logarithmic function on a logarithmic...

Question 12

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

Accepted Answer

A)  8.711, -5.511 
B)  -5.511 
C)  8.711 
D)  3.827 
A)  8.711, -5.511 
B)  -5.511 
C)  8.711 
D)  3.827

Question 13

Carbon-14 has a half-life of 5730 years. How long will it take 11.5 grams of carbon-14 to be reduced to 6.5 grams? Round to the nearest year.

Accepted Answer

A)  2,048 years 
B)  10,860 years 
C)  4,716 years 
D)  6,885 years 
A)  2,048 years 
B)  10,860 years 
C)  4,716 years 
D)  6,885 years

Question 14

Evaluate the logarithm exactly.
Log12 -144

Accepted Answer

A)  1 
B)  12 
C)  2 
D)  undefined 
A)  1 
B)  12 
C)  2 
D)  undefined

Question 15

Solve the logarithmic equation exactly.

Accepted Answer

A)  -2 
B) 3 
C)  no solution 
D)    
A)  -2 
B) 3 
C)  no solution 
D)

Question 16

State the domain of the logarithm function f(x) = log2 (100 - x2).

Accepted Answer

A)  (-10, 10) 
B)  [-10, 10] 
C)  (0,$\infty$) 
D)  (-$\infty$, 10) $\cup$ (10 , $\infty$) 
A)  (-10, 10) 
B)  [-10, 10] 
C)  (0,$\infty$) 
D)  (-$\infty$, 10) $\cup$ (10 , $\infty$)

Question 17

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.

Accepted Answer

y-intercept: (0, 2)

Question 18

Write the logarithmic equation in its equivalent exponential form.
Log 0.0001 = -4

Accepted Answer

A)  104 = 0.0001 
B)  e-4 = 0.0001 
C)  10-4 = 0.0001 
D)  0.00014 = 10 
A)  104 = 0.0001 
B)  e-4 = 0.0001 
C)  10-4 = 0.0001 
D)  0.00014 = 10

Question 19

A substance has an approximate hydrogen ion concentration of about 4.31 x 10-9.9 . Calculate its pH value.

Accepted Answer

A)  10.5 
B)  21.3 
C)  -10.5 
D)  9.3 
A)  10.5 
B)  21.3 
C)  -10.5 
D)  9.3

Question 20

Match the graph with the function.

Accepted Answer

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

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

For the exponential function , state the y-intercept. Round your answer to two decimal places.

Solve the exponential equation exactly for x. 3 ²^x^{- 2} = 9

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Solve the exponential equation exactly for x. 81^x = 3

Write the expression as a sum or difference of logarithms.

Write the expression as a sum or difference of logarithms.

Graph the exponential function.

Graph the logarithmic function.

State the domain of the logarithm function In interval notation.

Graph the logarithmic function on a logarithmic scale.

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

Carbon-14 has a half-life of 5730 years. How long will it take 11.5 grams of carbon-14 to be reduced to 6.5 grams? Round to the nearest year.

Evaluate the logarithm exactly. Log₁₂ -144

Solve the logarithmic equation exactly.

State the domain of the logarithm function f(x) = log₂ (100 - x²).

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.

Write the logarithmic equation in its equivalent exponential form. Log 0.0001 = -4

A substance has an approximate hydrogen ion concentration of about 4.31 x 10^-9.9 . Calculate its pH value.

Match the graph with the function.

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

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

For the exponential function , state the y-intercept. Round your answer to two decimal places.

Solve the exponential equation exactly for x. 3 2x - 2 = 9

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Solve the exponential equation exactly for x. 81x = 3

Write the expression as a sum or difference of logarithms.

Write the expression as a sum or difference of logarithms.

Graph the exponential function.

Graph the logarithmic function.

State the domain of the logarithm function In interval notation.

Graph the logarithmic function on a logarithmic scale.

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

Carbon-14 has a half-life of 5730 years. How long will it take 11.5 grams of carbon-14 to be reduced to 6.5 grams? Round to the nearest year.

Evaluate the logarithm exactly. Log12 -144

Solve the logarithmic equation exactly.

State the domain of the logarithm function f(x) = log2 (100 - x2).

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.

Write the logarithmic equation in its equivalent exponential form. Log 0.0001 = -4

A substance has an approximate hydrogen ion concentration of about 4.31 x 10-9.9 . Calculate its pH value.

Match the graph with the function.

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

Solve the exponential equation exactly for x. 3 ²^x^{- 2} = 9

Solve the exponential equation exactly for x. 81^x = 3

Evaluate the logarithm exactly. Log₁₂ -144

State the domain of the logarithm function f(x) = log₂ (100 - x²).

A substance has an approximate hydrogen ion concentration of about 4.31 x 10^-9.9 . Calculate its pH value.