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2003
Mathematics
JAMB
If 9
2x−1
/27
x+1
= 1 , find the value of x.
A.
8
B.
5
C.
3
D.
2
Correct Answer:
5
Explanation
If 9
2x−1
/27
x+1
= 1 ⟹f 9
2x−1
= 27
x+1
(3
2
)
2x−1
= (3
3
)
x + 1
2(2x−1 )= 3(x+1) ⟹ 4x−2 = 3x+3 4x − 3x = 3 + 2 ⟹ x = 5
If 9
2x−1
/27
x+1
= 1 ⟹f 9
2x−1
= 27
x+1
(3
2
)
2x−1
= (3
3
)
x + 1
2(2x−1 )= 3(x+1) ⟹ 4x−2 = 3x+3 4x − 3x = 3 + 2 ⟹ x = 5
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