Question 1

Use a graphing calculator to solve the equation. Round to two decimal places.
-

Accepted Answer

A)  2.16 
B)  3.18 
C)  -1.29 
D)  -0.77

Question 2

Solve the problem.
-An artifact is discovered at a certain site. If it has 62% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.)

Accepted Answer

A)  3824 years 
B)  1661 years 
C)  3040 years 
D)  4960 years

Question 3

Solve the following graphically. If necessary, round answers to the nearest thousandth.
-

Accepted Answer

A)  -5.798, -0.116 
B)  -5.786, -0.125 
C)  -5.828, -0.114 
D)  -5.033

Question 4

Solve the equation.
-

Accepted Answer

A)   
B)   
C)  -3 
D)  3

Question 5

Solve the problem.
-How long will it take for prices in the economy to double at a 9% annual inflation rate? (Round to the nearest year.)

Accepted Answer

A)  23 yr 
B)  8 yr 
C)  7 yr 
D)  13 yr

Question 6

Find the value of the logarithmic function.
-

Accepted Answer

A)  3 ln(4) 
B)  4 
C)   
D)  -4

Question 7

Solve the problem.
-A certain noise measures 70 decibels. If the intensity is multiplied by 1000, how many decibels will the new noise measure?

Accepted Answer

A)  100 decibels 
B)  210 decibels 
C)  70,000 decibels 
D)  73 decibels

Question 8

Solve the equation.
-

Accepted Answer

A)  4 
B)  8 
C)   
D)  2

Question 9

Solve the equation. Give an exact solution.
-ln(2x - 3) = ln(3) - ln(x - 1)

Accepted Answer

A)   
B)   
C)   
D)  No solution

Question 10

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve the equation. If necessary, round to thousandths.
-

Accepted Answer

A)  0.540 
B)  0.574 
C)  0.940 
D)  1.500

Question 12

Solve the equation. If necessary, round to thousandths.
-

Accepted Answer

A)  -1.403 
B)  2.597 
C)  6.000 
D)  -1.735

Question 13

Use a calculator and the base-change formula to find the logarithm to four decimal places.
-

Accepted Answer

A)  1.2740 
B)  0.9252 
C)  1.0808 
D)  1.4062

Question 14

Solve the problem.
-Quail are game birds that fair poorly when their habitat is encroached. Wildlife biologists have discovered that the population of quail in a region can be related to the percent of the region that has been paved with roads
And parking lots. The population is  where x is the percent of the region that is paved. For a particular rural region, P = 1000 when x = 0%. Predict
What the quail population will be in this region when it becomes 8% paved.

Accepted Answer

A)  520 quail 
B)  0 quail 
C)  562 quail 
D)  509 quail

Question 15

Solve the equation.
-

Accepted Answer

A)  -2 
B)  9 
C)  3 
D)  2

Question 16

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

Accepted Answer

A)  1.281 
B)  1.016 
C)  3.361 
D)  282.96

Question 17

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 18

Use a calculator and the base-change formula to find the logarithm to four decimal places.
-

Accepted Answer

A)  1.0312 
B)  0.9483 
C)  0.7404 
D)  0.9698

Question 19

Use a graph or a table to find the limit.
-

Accepted Answer

A)   
B)   
C)  -1 
D)  0

Question 20

Solve the following graphically. If necessary, round answers to the nearest thousandth.
-

Accepted Answer

A)  1, 2.557 
B)  No solution 
C)  2.557 
D)  -0.601, 2.601

Exam 4: Exponential and Logarithmic Functions

Use a graphing calculator to solve the equation. Round to two decimal places. -

Solve the problem. -An artifact is discovered at a certain site. If it has 62% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.)

Solve the following graphically. If necessary, round answers to the nearest thousandth. -

Solve the equation. -

Solve the problem. -How long will it take for prices in the economy to double at a 9% annual inflation rate? (Round to the nearest year.)

Find the value of the logarithmic function. -

Solve the problem. -A certain noise measures 70 decibels. If the intensity is multiplied by 1000, how many decibels will the new noise measure?

Solve the equation. -

Solve the equation. Give an exact solution. -ln(2x - 3) = ln(3) - ln(x - 1)

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. -

Solve the equation. If necessary, round to thousandths. -

Solve the equation. If necessary, round to thousandths. -

Use a calculator and the base-change formula to find the logarithm to four decimal places. -

Solve the equation. -

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

Graph the function. -

Use a calculator and the base-change formula to find the logarithm to four decimal places. -

Use a graph or a table to find the limit. -

Solve the following graphically. If necessary, round answers to the nearest thousandth. -