AnswersDHS Algebra 2 VSolving Exponential Equations by Rewriting the Base

Solving Exponential Equations by Rewriting the Base Answers

26 verified answers2 views
1
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Solve: 43x = 42

A
Option
B
Option
C
Option
D
Option
2
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Solve: 62x - 3 = 6-2x+1

A
x = -1
B
x = 0
C
x = 1
D
x = 4
3

Solve: 493x = 3432x+1

A
x = –3
B
x = 1
C
x = 3
D
no solution
4

Solve: 3,125 = 5–10 + 3x x =

Answer:

5

5

To solve 493x = 3432x+1, write each side of the equation in terms of base .

Answer:

7

6

Solve:

Question illustration
A
a = –8
B
a = 0
C
a = 8
D
no solution
7

Rewrite the given equation so there is a single power of 5,000 on each side. Then, set the exponents equal to each other. Which equation shows the result?

Question illustration
A
2 = 1
B
z = 1
C
–4z + 2 = 1
D
–4z + 1 = 1
8

Solve:

Question illustration
A
x = –1
B
x = 0
C
x = 1
D
no solution
9

Solve:

Question illustration
A
Option
B
Option
C
Option
D
Option
10

Solve:

Question illustration
A
a = –3
B
a = 0
C
a = 3
D
no solution
11

Solve: 43x = 42

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Solve: 3,125 = 5–10 + 3x x =

Answer:

5

13

To solve 493x = 3432x+1, write each side of the equation in terms of base .

Answer:

7

14

Choose the correct equation.

A
(7) 3x = (73) 2x+1
B
(72) 3x = (73) 2x+1
C
(72) 3x = (74) 2x+1
15

Solve:

Question illustration
A
a = –8
B
a = 0
C
a = 8
D
no solution
16

Rewrite the given equation so there is a single power of 5,000 on each side. Then, set the exponents equal to each other. Which equation shows the result?

Question illustration
A
2 = 1
B
z = 1
C
–4z + 2 = 1
D
–4z + 1 = 1
17

Solve:

Question illustration
A
x = –1
B
x = 0
C
x = 1
D
no solution
18

Solve:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

Solve:

Question illustration
A
a = –3
B
a = 0
C
a = 3
D
no solution
20

Explain the error in the work shown. Find the correct answer.

Question illustration
Answer:

The bases were not the same when the exponents were set equal to each other. 16 should have been written as 4 squared. The exponent on the right should be 4a instead of 8a. The correct solution is .

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