Question 1

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​

Accepted Answer

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

Question 2

Match the graph with its exponential function. ​   ​

Accepted Answer

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

Question 3

Write the exponential equation   in logarithmic form.

Accepted Answer

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

Question 4

Select the graph of the exponential function. ​   ​

Accepted Answer

A) ​   ​ 
B) ​   ​ 
C) ​   ​ 
D) ​   ​ 
E) ​   ​ 
A) ​   ​ 
B) ​   ​ 
C) ​   ​ 
D) ​   ​ 
E) ​   ​

Question 5

Solve for x. ​   ​

Accepted Answer

A) 8 
B) 2 
C) -2 
D) -6 
E) 6 
A) 8 
B) 2 
C) -2 
D) -6 
E) 6

Question 6

Simplify the expression log5 175.

Accepted Answer

A) 35log5 2 
B) 2 log5 7 
C) 7 
D) ​2 + log5 7 
E) The expression cannot be simplified. 
A) 35log5 2 
B) 2 log5 7 
C) 7 
D) ​2 + log5 7 
E) The expression cannot be simplified.

Question 7

Find the exponential model   that fits the points shown in the graph. ​   ​

Accepted Answer

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

Question 8

Solve the exponential equation algebraically.Approximate the result to three decimal places. ​   ​

Accepted Answer

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

Question 9

What is the value of the function   at   ? Round to 3 decimal places.

Accepted Answer

A) 278.193 
B) 127.226 
C) 74.820 
D) 787.067 
E) 8647.887 
A) 278.193 
B) 127.226 
C) 74.820 
D) 787.067 
E) 8647.887

Question 10

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio.
​
F(x) = log4 x
​

Accepted Answer

A) f(x) = log x + log 4 = ln x + ln 4 ​   
B)      
C)      
D)      
E)      ​ 
A) f(x) = log x + log 4 = ln x + ln 4 ​   
B)      
C)      
D)      
E)      ​

Question 11

Find the exact value of the logarithmic expression without using a calculator. ​   ​

Accepted Answer

A) 3 
B)    
C) 7 
D) ​21 
E) None of these 
A) 3 
B)    
C) 7 
D) ​21 
E) None of these

Question 12

Condense the expression to the logarithm of a single quantity. ​
Log x - 2log y + 3log z
​

Accepted Answer

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

Question 13

Find the exact value of   without using a calculator.

Accepted Answer

A) 1 
B) 4 
C) 11 
D)    
E)    
A) 1 
B) 4 
C) 11 
D)    
E)

Question 14

Solve the exponential equation algebraically.Approximate the result to three decimal places. ​   ​

Accepted Answer

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

Question 15

Condense the expression   to the logarithm of a single term.

Accepted Answer

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

Question 16

Evaluate   at the indicated value of x.Round your result to three decimal places. ​   ​

Accepted Answer

A) -1.407 
B) 1.407 
C) 0.711 
D) 0.039 
E) -0.711 
A) -1.407 
B) 1.407 
C) 0.711 
D) 0.039 
E) -0.711

Question 17

Evaluate   at the indicated value of x.Round your result to three decimal places. ​   ​

Accepted Answer

A) -0.5 
B) 0.01 
C) 0.5 
D) -2 
E) 2 
A) -0.5 
B) 0.01 
C) 0.5 
D) -2 
E) 2

Question 18

Find the intensity I of an earthquake measuring R on the Richter scale   . ​
Costa Rica in 2009,   ​

Accepted Answer

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

Question 19

Graph the function using translations. ​   ​

Accepted Answer

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

Question 20

Assume that x is a positive number.Use the properties of logarithms to write the expression ​
Logb (x + 8) - logb x as the logarithm of one quantity.
​

Accepted Answer

A)    
B)    
C)    
D)    
E) logb (x2 - 8x) 
A)    
B)    
C)    
D)    
E) logb (x2 - 8x)

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.

Match the graph with its exponential function.

Write the exponential equation in logarithmic form.

Select the graph of the exponential function.

Solve for x.

Simplify the expression log₅ 175.

Find the exponential model that fits the points shown in the graph.

Solve the exponential equation algebraically.Approximate the result to three decimal places.

What is the value of the function at ? Round to 3 decimal places.

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. F(x) = log₄ x

Find the exact value of the logarithmic expression without using a calculator.

Condense the expression to the logarithm of a single quantity. Log x - 2log y + 3log z

Find the exact value of without using a calculator.

Solve the exponential equation algebraically.Approximate the result to three decimal places.

Condense the expression to the logarithm of a single term.

Evaluate at the indicated value of x.Round your result to three decimal places.

Evaluate at the indicated value of x.Round your result to three decimal places.

Find the intensity I of an earthquake measuring R on the Richter scale . Costa Rica in 2009,

Graph the function using translations.

Assume that x is a positive number.Use the properties of logarithms to write the expression Log_b (x + 8) - log_b x as the logarithm of one quantity.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​ ​

Match the graph with its exponential function. ​ ​

Write the exponential equation in logarithmic form.

Select the graph of the exponential function. ​ ​

Solve for x. ​ ​

Simplify the expression log5 175.

Find the exponential model that fits the points shown in the graph. ​ ​

Solve the exponential equation algebraically.Approximate the result to three decimal places. ​ ​

What is the value of the function at ? Round to 3 decimal places.

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. ​ F(x) = log4 x ​

Find the exact value of the logarithmic expression without using a calculator. ​ ​

Condense the expression to the logarithm of a single quantity. ​ Log x - 2log y + 3log z ​

Find the exact value of without using a calculator.

Solve the exponential equation algebraically.Approximate the result to three decimal places. ​ ​

Condense the expression to the logarithm of a single term.

Evaluate at the indicated value of x.Round your result to three decimal places. ​ ​

Evaluate at the indicated value of x.Round your result to three decimal places. ​ ​

Find the intensity I of an earthquake measuring R on the Richter scale . ​ Costa Rica in 2009, ​

Graph the function using translations. ​ ​

Assume that x is a positive number.Use the properties of logarithms to write the expression ​ Logb (x + 8) - logb x as the logarithm of one quantity. ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.

Match the graph with its exponential function.

Select the graph of the exponential function.

Solve for x.

Simplify the expression log₅ 175.

Find the exponential model that fits the points shown in the graph.

Solve the exponential equation algebraically.Approximate the result to three decimal places.

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. F(x) = log₄ x

Find the exact value of the logarithmic expression without using a calculator.

Condense the expression to the logarithm of a single quantity. Log x - 2log y + 3log z

Solve the exponential equation algebraically.Approximate the result to three decimal places.

Evaluate at the indicated value of x.Round your result to three decimal places.

Evaluate at the indicated value of x.Round your result to three decimal places.

Find the intensity I of an earthquake measuring R on the Richter scale . Costa Rica in 2009,

Graph the function using translations.

Assume that x is a positive number.Use the properties of logarithms to write the expression Log_b (x + 8) - log_b x as the logarithm of one quantity.