Solving Exponential Equations by Rewriting the Base Answers

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4

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
5

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
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
8

For what value of a does ?

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

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
10

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

A
Two-thirds
Option A
B
Three-halves
Option B
C
2
D
3

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Solving Exponential Equations by Rewriting the…