COLLEGE
ALGEBRA
EXAM 4 HR1 Dr.
Robert J. Rapalje, Seminole State College
SHOW
ALL WORK ON THIS TEST OR ON SEPARATE PAPER.
Circle answers.
TURN
IN ALL WORKSHEETS. CALCULATORS
ARE REQUIRED ON THIS TEST.
In
1 - 9, solve for the unknown:
1. log 5 125 = x
2.
3. log 5 1 =
x
4.
5.
6.
log 5
x
= − 1
7.
log b 16 = 2
8. log 8
4 = x
9. log b
8 = − 3
In
10 - 14, simplify completely:
10.
= ______
11.
=
______
12.
=
______
13.
= ________
14.
=
_______ 15.
=
______
In
16 - 21, use your calculator (round to nearest hundredth or give
scientific notation):
16.
e −7
= _______
17. ln 6
+ ln 100
18. ln (e5
+ e7)
19.
6e20
+ 9e30
20.
log 3
75
21. –2
ln 8 +
6 ln 75
In 22 -
25, solve for
x (Give exact values--you may use calculator methods to check!):
22. 27x
+
4 = 9 x −2
23.
12 x
=
7 x + 4
24.
log 5
x = log5 (x + 4) − 2
25.
log2 x + log2 (x +2) = 3
26.
The population of a rabbit farm is given by
y = 50 e0.035t,
where t is in years.
a)
Estimate the population
b) How long will it
take the population
in 24 years.
to
reach 1000?
27.
The population of a city in 1975 was 30,000.
In 1978, the population was 39,000.
a)
Assuming that
,
b) Use this value of k
to predict the
find the value of k.
population of the city in 2005.
c) How many years does
it take the population to double?
COLLEGE
ALGEBRA EXAM 4 HR1 Solutions
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