MAC 1140
Set: Logarithmic and exponetial functions
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) The formula P = 14.7e-0.21x gives the average atmospheric pressure, P, in pounds per square inch,
at an altitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of
2.3 miles. Round your answer to the nearest tenth.
A) 11.0 lb/in.2
B) 9.1 lb/in.2
C) 7.8 lb/in.2
D) 8.4 lb/in.2
2) If 8 -x =
1
, what does 64x equal?
4
A) -16
B)
2)
1
16
C) 4
D) 16
The graph of an exponential function is given. Match the graph to one of the following functions.
3)
A) f(x) = 5 x - 1
1)
B) f(x) = 5 x
C) f(x) = 5 x + 1
3)
D) f(x) = 5 x - 1
Graph the function.
4) f(x) = -1 + ex
4)
1
A)
B)
C)
D)
Solve the equation.
5) 2 1 + 2x = 32
A) {2}
B) {-2}
C) {16}
5)
D) {4}
1
6) 2 7 - 3x =
4
6)
A) {1}
B) {-3}
7) 9 2x ยท 27(3 - x) =
8)
C) {3}
D)
1
2
1
9
7)
A) {-8}
B) {10}
C) {-11}
D)
9+
6
87 9 ,
6
87
1 3x + 4
= 9 x- 1
3
A) -
2
5
8)
B) 2
C) -
2
3
4
D) -
3
5
1 x+4
9) ex - 3 =
e2
A) -
5
3
9)
B) - 7
C)
7
3
D) - 11
Solve the problem.
10) Find the amount in a savings account at the end of 6 years if the amount originally deposited is
$3000 and the interest rate is 5% compounded semiannually.
Use: A = P 1 +
r nt
where:
n
A = final amount
P = $3000 (the initial deposit)
r = 5% = 0.05 (the annual rate of interest)
n = 2 (the number of times interest is compounded each year)
t = 6 (the duration of the deposit in years)
A) $3479.08
B) $4034.67
C) $36,900.00
D) $4438.13
Change the exponential expression to an equivalent expression involving a logarithm.
11) 7 2 = 49
A) log
12) 3 -2 =
2
49 = 7
B) log
7
2 = 49
C) log
7
49 = 2
D)...