Deck 3: Exponential and Logarithmic Functions

Question 1

Solve the exponential equation algebraically. Approximate the result to three deci- mal places.

Answer 1

E

Question 2

Write the exponential equation in logarithmic form.

Answer 2

D

Question 3

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

A) -1.745
B) -0.692
C) 0.630
D) 0.273
E) -0.573

Answer 3

E

Question 4

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.

Question 5

Use the One-to-One Property to solve the equation for x.

Question 6

Solve the exponential equation algebraically. Approximate the result to three deci- mal places.

Question 7

Use a graphing utility to construct a table of values for the function. Round your answer to two decimal places.

Question 8

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

Question 9

Evaluate the function at the indicated value of

Question 10

Evaluate the function at the indicated value of . Round your result to three deci- mal places.

Question 11

Rewrite the logarithm as a ratio of common logarithms.

Question 12

Select the graph of the exponential function.

Question 13

Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years. (Round the answer upto 2 decimal places.)

Question 14

Write the exponential equation in logarithmic form.

Question 15

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

A) No
B) Yes

Question 16

Condense the expression to the logarithm of a single quantity.

Question 17

Evaluate the function at the indicated value of . Round your result to three deci- mal places.

Question 18

Solve the logarithmic equation algebraically. Approximate the result to three deci- mal places.

Question 19

Write the logarithmic equation in exponential form.

Question 20

Solve for . Approximate the result to three decimal places.

Question 21

Solve for . Approximate the result to three decimal places.

Question 22

Write the logarithmic equation in exponential form.

Question 23

Select a scatter plot of the given data.

Question 24

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

A) -0.473
B) 0.226
C) -0.571
D) 0.519
E) -2.115

Question 25

Solve the exponential equation algebraically. Approximate the result to three deci- mal places.

Question 26

Evaluate the function at the indicated value of

Question 27

Use a graphing utility to construct a table of values for the function. Round your answer to two decimal places.

Question 28

Evaluate the function at the indicated value of . Round your result to three deci- mal places.

Question 29

Write the exponential equation in logarithmic form.

Question 30

Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.

Question 31

Condense the expression to the logarithm of a single quantity.

Question 32

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

Question 33

Find the magnitude R of ea

A) 7.42
B) 6.42
C) 8.42
D) 10.42
E) 9.42

Question 34

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

Question 35

Rewrite the logarithm as a ratio of common logarithms.

Question 36

Write the exponential equation in logarithmic form.

Question 37

Select the graph of the exponential function.

Question 38

Evaluate the function at the indicated value of . Round your result to three deci- mal places.

Question 39

Use the One-to-One Property to solve the equation for x.

Question 40

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

A) No
B) Yes

Question 41

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

Question 42

Find the magnitude R of ea

A) 8.36
B) 9.36
C) 10.36
D) 7.36
E) 6.36

Question 43

Solve the logarithmic equation algebraically. Approximate the result to three deci- mal places.

Question 44

Solve the exponential equation algebraically. Approximate the result to three deci- mal places.

Question 45

Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years. (Round the answer upto 2 decimal places.)

Question 46

Select a scatter plot of the given data.