COLLEGE
ALGEBRA
EXAM 4 HR1
NAME _____________________
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 “ROOT” 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?
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ALGEBRA EXAM 4 HR1 Solutions
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