#1

Solve for x: x = 83

5

x = 83

5

#2

Solve for x: 3 =1

81x-1

3 =1

81x-1

#3

Graph by hand. f(x) = 2-x

f(x) = 2-x

#4

Graph by hand. g(x) = e +1x

g(x) = e +1x

#5

If $5000 is invested at 9% interest, find the amount after three years if the interest is compounded

(a) monthly (b) quarterly (c) continuously.

If $5000 is invested at 9% interest, find the amount after three years if the interest is compounded

(a) monthly (b) quarterly (c) continuously.

#6

Write the equation in logarithmic form:

7-2 1

49

7-2 1

49

#7

Solve for x: x - 4 = log1

642

x - 4 = log1

642

#8

Write as a single logarithm.

5 ln x - 1

2 ln y + 6 ln z

5 ln x - 1

2 ln y + 6 ln z

#9

Using your calculator and the change of base formula, evaluate .log 289

log 289

#10

Use your calculator to solve for N:log N = 0.664610

log N = 0.664610

#11

Graph by hand. y = log x4

y = log x4

#12

Determine the domain of f(x) = log3( )x2 9

f(x) = log3( )x2 9

#13

Graph by hand y x ln( )2

y x ln( )2

#14

True or false: ln

lnln( )

x

yx y

ln

lnln( )

x

yx y

#15

Solve for x: 5 = 41x

5 = 41x

#16

Solve for x: x - x = log 1

252

5

x - x = log 1

252

5

#17

Solve for x: log x + log (x - 3) = 22 2

log x + log (x - 3) = 22 2

#18

Six thousand dollars is deposited into a fund at an annual percentage rate of 13%. Find the time required for the investment to double if the interest is compounded continuously.

Six thousand dollars is deposited into a fund at an annual percentage rate of 13%. Find the time required for the investment to double if the interest is compounded continuously.

#19

Use a graphing utility to find the points of intersection of the graphs ofy = ln(3x) and y = e - 4x

y = ln(3x) and y = e - 4x

#20

Use a graphing utility to find the power model for the data (1, 1), (2, 5), (3, 8), and (4, 17) in the form .y = axb

y = axb(1, 1), (2, 5), (3, 8), and (4, 17)

#21For selected years from 1980 to 2000, the average salary y (in thousands

of dollars) for public school teachers for the year t can be modeled by the equation

where t = 10 represents 1980. During which year did the average salary for public school teachers reach $40,000?

y t t 39 2 2364 10 30. . ln ,

#21For selected years from 1980 to 2000, the average salary y (in thousands

of dollars) for public school teachers for the year t can be modeled by the equation

where t = 10 represents 1980. During which year did the average salary for public school teachers reach $40,000?

y t t 39 2 2364 10 30. . ln ,

#22On a college campus of 5000 students, one student returns from vacation

with a contagious flu virus. The spread of the virus is modeled by

where y is the total number infected after t days.

The college will cancel classes when 40% or more of the students are infected. (a) How many students are infected after 5 days? (b) After how many days will the college cancel classes?

ye

tt

5000

1 49990

8.,

On a college campus of 5000 students, one student returns from vacation with a contagious flu virus. The spread of the virus is modeled by

where y is the total number infected after t days.

The college will cancel classes when 40% or more of the students are infected. (a) How many students are infected after 5 days? (b) After how many days will the college cancel classes?

ye

tt

5000

1 49990

8.,