Algebra 2 Trigonometry Honor Practice Quiz Worksheet Page 2
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7Name _______________________________ Period ________
Algebra 2 Trigonometry Honors
5.1-5.3 Practice Quiz
9. Evaluate the logarithm using the change-of-base formula. Find the value to three decimal
places.
log
34
5
10. Indicate whether the following statement is true or false. If it is false, correct the statement.
8
=
÷
log
log
8
log
7
10
10
10
7
11. Condense the expression to the logarithm of a single quantity.
b g
b g
1
+
+
+
−
7
log
x
6
3
log
x
3
log
x
4
4
4
2
12. The amount of time t in years required for a certain radioactive material to decompose is
−
ln
R
ln
A
=
t
k
where R is the mass of the substance remaining after decomposition, A is the original mass
of the substance, and k is a constant related to the particular material. Find the time required
for 99 grams of a radioactive substance to decompose so that only 33 grams remain if
k = – .
0163
.
[A] 67.6 years
[B] 6.8 years
[C] 28.3 years
[D] 0.1 year
13. In 1995, the population of a country was estimated at 4 million. For any subsequent year the
b g
population P t
in millions is
b g
240
=
P t
−
+
t
0 0208
.
5 54 99
.
e
where t is the number of years since 1995. Use a graphing calculator to estimate the
population in 2008.
[A] 5,158,000
[B] 5,206,000
[C] 5,111,000
[D] 5,016,000
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