passpadi

2003

Mathematics

JAMB

If 92x−1/27x+1 = 1 , find the value of x.

A.

8

B.

5

C.

3

D.

2

Correct Answer: 5

Explanation

If 92x−1/27x+1 = 1 ⟹f 92x−1 = 27x+1 (32)2x−1 = (33)x + 1 2(2x−1 )= 3(x+1) ⟹ 4x−2 = 3x+3 4x − 3x = 3 + 2 ⟹ x = 5

If 92x−1/27x+1 = 1 ⟹f 92x−1 = 27x+1 (32)2x−1 = (33)x + 1 2(2x−1 )= 3(x+1) ⟹ 4x−2 = 3x+3 4x − 3x = 3 + 2 ⟹ x = 5
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