AnswersDHS Algebra 2 VSolving Exponential Equations by Rewriting the Base

Solving Exponential Equations by Rewriting the Base Answers

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1
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For what value of y does ?

Question illustration
A
Negative five-halves
Option A
B
–2
C
–1
D
Negative one-half
Option D
2
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For what value of a does ?

Question illustration
A
–4
B
–2
C
2
D
6
3

If , what is the value of y?

Question illustration
A
–8
B
–4
C
–2
D
–1
4

For what value of x does ?

Question illustration
A
1
B
2
C
3
D
4
5

For what value of x does ?

Question illustration
A
–15
B
–3
C
3
D
15
6

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
7

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
8

If , what is the value of x?

Question illustration
A
2
B
3
C
4
D
6
9

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
10

Which equation is equivalent to ?

Question illustration
A
3 Superscript x Baseline = 3 Superscript negative 3 x + 2
Option A
B
3 Superscript x Baseline = 3 Superscript 3 x + 6
Option B
C
3 Superscript negative x Baseline = 3 Superscript 3 x + 2
Option C
D
3 Superscript negative x Baseline = 3 Superscript 3 x + 6
Option D
11

For what value of x does ?

Question illustration
A
1
B
2
C
3
D
4
12

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
13

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
14

Solve:

Question illustration
A
x = 2
B
x = –5
C
x = 2, x = –5
D
no solution
15

If , what is the value of y?

Question illustration
A
–8
B
–4
C
–2
D
–1
16

For what value of x does ?

Question illustration
A
–15
B
–3
C
3
D
15
17

For what value of y does ?

Question illustration
A
Negative five-halves
Option A
B
–2
C
–1
D
Negative one-half
Option D
18

For what value of a does ?

Question illustration
A
–1
B
0
C
1
D
no solution
19

If , what is the value of b?

Question illustration
A
–2
B
–1
C
1
D
2
20

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

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