If (a/b)x - 1 = (b/a)x - 3, then the value of x is:

If (a/b)^{x - 1} = (b/a)^{x - 3}, then the value of x is:

A 1/2

B 1

C 2

D 7/2

Correct Answer: Option C

Given (a/b) x – 1= (b/a) x - 3

=> (a/b)(x-1) =(a/b)- (x - 3) = (a/b)(3 - x)

=> x - 1 = 3 - x

=> 2x = 4

=> x = 2.