If 9^(2x â€“ 1) â€“ 81^(x-1) = 1944, then x is

A) 3

B) 9/4

C) 4/9

D) 1/3

Option (B)

From CAT 2017 – Quantitative Aptitude – Algebra – Polynomials, we can see that,

9^(2x-1) â€“ 9^(2x-2) = 1944

It can be written as 3^(4x)/9 â€“ 3^(4x)/81 = 1944

8(3^(4x)/81) = 1944

x =9/4

Option (B)

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