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Algebra 2 - Unit 7 TEST: Exponential and Logarithm
By Vincent Nguyen
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Last updated 4 months ago
10 questions
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Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
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Question 7
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Question 8
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Question 9
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Question 10
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Rewrite in exponential form
:
A
B
C
D
Rewrite in logarithmic form:
A
B
C
D
Use the power rule to expand the log:
log
b
(x
n
)
x
n
log
b
x
(log
b
x)
n
n log
b
(x)
log
b
(x
n
)
Use the quotient rule to expand the log:
log
b
(x/y)
log
b
(x) - log
b
(y)
log
b
(x) * log
b
(y)
log
b
(x) / log
b
(y)
log
b
(x) + log
b
(y)
Use the power and product rules to condense the log:
log(12) + 2 log(x)
log (12x
2
)
log (14x)
log (24x)
log (12 + 2x)
Solve the following log equation:
log
4
(3x-1) = log
4
(2x+3)
3
1
8
4
Solve the following log equation:
log
8
(4x+4) = 2
10
3
12
15
Solve the exponential equation with the same base:
3
3
= (3
2
)
2x + 1
1/2
- 1/2
- 1/4
1/4
Solve the exponential equation with the same base:
Solve 3
26
= 3
4x + 2
6
-4
5
3
Solve for x:
log
5
(4x-7)=log
5
(x+5)
3
7
4
12