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If frac 9 2x-1 27 x 1 1 find the value of x - JAMB Mathematics 2003 Question

If (\frac{9^{2x-1}}{27^{x+1}} = 1)find the value of x.

A
8
B
5
C
3
D
2
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Correct Option: B

Cross-multiplying, 92x-1 = 1 x 27x+1

32(2x-1) = 33(x+1)

Solving by equating index: 2(2x-1) = 3(x+1), => x = 5

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