AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Logarithmic Functions

Solving Logarithmic Equations using Technology Answers

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1
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Which system of equations could be graphed to solve the equation below?

Question illustration
A
y 1 = StartFraction log 0.5 Over x EndFraction , y 2 = StartFraction log 3 Over 2 + x EndFraction
Option A
B
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 + x Over log 3 EndFraction
Option B
C
y 1 = StartFraction log 0.5 Over log 3 EndFraction, y 2 = StartFraction log x Over log 2 + x EndFraction
Option C
D
y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x
Option D
2
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A student solved the equation below by graphing.Which statement about the graph is true?

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T
The curves do not intersect.
T
The curves intersect at one point.
T
The curves intersect at two points.
T
The curves appear to coincide.
3

Devonte used the change of base formula to approximate . Which expression did Devonte use?

Question illustration
A
Log StartFraction 8 Over 25 EndFraction
Option A
B
StartFraction log 8 Over log 25 EndFraction
Option B
C
log StartFraction 25 Over 8 EndFraction
Option C
D
StartFraction log 25 Over log 8 EndFraction
Option D
4

Consider the equation below.Which system of equations can represent the equation?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

What is the approximate value of x in the equation below.

Question illustration
–
–3.396
–
–0.708
0
0.304
0
0.955
6

Omar wants to use a graph to solve the equation below.Which system of equations should Omar use?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Tenisha solved the equation below by graphing a system of equations.Which point approximates the solution for Tenisha’s system of equations?

Question illustration
A
(0.9, 0.8)
B
(1.0, 1.4)
C
(2.3, 1.1)
D
(2.7, 13.3)
8

A teacher used the change of base formula to determine whether the equation below is correct.Which statement explains whether the equation is correct?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which system of equations could be graphed to solve the equation below?

Question illustration
A
y 1 = 3 x, y 2 = 2 x
Option A
B
y 1 = log (2 x + 1), y 2 = 3 x minus 2
Option B
C
y 1 = log 2 x + 1, y 2 = 3 x minus 2
Option C
D
y 1 = log (2 x + 1 + 2), y 2 = 3 x
Option D
10

What is the approximate value of x in the equation below?

Question illustration
A
–2.523
B
–1.317
C
2.880
D
7.485

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