AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Solving Exponential and Logarithmic Equations

Solving Exponential and Logarithmic Equations — Unit test Answers

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What is the range of the function graphed below?

Question illustration
A
y greater-than 0
Option A
B
y less-than 0
Option B
C
y less-than 0
Option C
D
y greater-than 0
Option D
2
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What is written as a single logarithm?

Question illustration
A
4 log Subscript one-half Baseline 2 Superscript 4 Baseline u squared minus v cubed
Option A
B
log Subscript one-half Baseline w Superscript 4 Baseline (StartFraction u squared Over v cubed EndFraction)
Option B
C
log Subscript one-half Baseline (StartFraction w Superscript 4 Baseline Over u squared v cubed EndFraction)
Option C
D
log Subscript one-half Baseline (w (StartFraction u squared Over v cubed EndFraction)) Superscript 4
Option D
3

Which of the following shows the graph of y = –(2)x – 1?

A
On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 0.5).
Option A
B
On a coordinate plane, a curve is level at y = negative 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).
Option B
C
On a coordinate plane, a curve is level at y = 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, 0).
Option C
D
On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).
Option D
4

Which expression is equivalent to ?

Question illustration
A
log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x
Option A
B
log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9
Option B
C
3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9
Option C
D
3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x
Option D
5

What is the solution to

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
6

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = negative StartRoot x EndRoot
Option A
B
y = StartRoot (negative x) EndRoot + 2
Option B
C
y = StartRoot (negative x) EndRoot minus 2
Option C
D
y = negative StartRoot x EndRoot minus 2
Option D
7

What is the domain of the function

Question illustration
A
x less-than negative 2
Option A
B
x greater-than negative 2
Option B
C
x less-than 2
Option C
D
x greater-than 2
Option D
8

What is rewritten using the power property?

Question illustration
A
e log Subscript 6 Baseline f
Option A
B
f log Subscript 6 Baseline e
Option B
C
log Subscript 6 Baseline (e times f)
Option C
D
log Subscript 6 Baseline (e + f)
Option D
9

Which expression is equivalent to ?

Question illustration
A
log StartFraction 3 StartRoot x EndRoot (x cubed + 4) Over 2 EndFraction
Option A
B
log StartFraction 3 StartRoot x EndRoot (3 x + 4) Over 2 EndFraction
Option B
C
log StartFraction StartRoot 9 x (x cubed + 4) EndRoot Over 6 EndFraction
Option C
D
StartFraction StartRoot log 9 x ( x cubed + 4) EndRoot Over 6 EndFraction
Option D

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