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#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.,