AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Solving Exponential Equations by Rewriting the Base

Solving Exponential Equations by Rewriting the Base Answers

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1
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If 22x = 23, what is the value of x?

A
Two-thirds
Option A
B
Three-halves
Option B
C
2
D
3
2
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For what value of b does ?

Question illustration
A
Negative one-half
Option A
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
no solution
3

For what value of a does ?

Question illustration
A
–1
B
0
C
1
D
no solution
4

If , what is the value of m?

Question illustration
A
4
B
6
C
8
D
9
5

For what value of a does ?

Question illustration
A
Negative eleven-thirds
Option A
B
Negative seven-thirds
Option B
C
Seven-thirds
Option C
D
Eleven-thirds
Option D
6

Solve:

Question illustration
A
x = 2
B
x = –5
C
x = 2, x = –5
D
no solution
7

Which equation is equivalent to ?

Question illustration
A
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
Option A
B
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
Option B
C
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
Option C
D
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9
Option D
8

If , what is the value of b?

Question illustration
A
–2
B
–1
C
1
D
2
9

For what value of x does ?

Question illustration
A
–15
B
–3
C
3
D
15
10

Which equation is equivalent to ?

Question illustration
A
8 Superscript 4 p Baseline = 8 Superscript 4 p + 3
Option A
B
8 Superscript 4 p Baseline = 8 Superscript 4 p + 12
Option B
C
2 Superscript 8 p Baseline = 2 Superscript 5 p + 15
Option C
D
2 Superscript 8 p Baseline = 2 Superscript 5 p + 3
Option D

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