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Surds and Indices
If ❨ a ❩ x - 1 = ❨ b ❩ x - 3 , then the value of x is: b a
1⁄2
1
2
7⁄2
Correct Answer:
2
Explanation:
Given ❨
a
❩
x
- 1
=
❨
b
❩
x
- 3
b
a
⟹
❨
a
❩
x
- 1
=
❨
a
❩
-(
x
- 3)
=
❨
a
❩
(3 -
x
)
b
b
b
⟹
x
- 1 = 3 -
x
⟹ 2
x
= 4
⟹
x
= 2.
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