Question

If (12/13)^4 x (13/12)^-8 = (12/13)^2x, then x is * (a) -2 (b) 6 (c) 2 (d) -6

Answer 1

Ans:- (12/13)^2x = (12/13)^4 × (12/13)^-8

=> (12/13)^2x = (12/13)^4+(-8)

=> (12/13)^2x = (12/13)^-4

=> 2x = -4 (since bases are equal so,power must be equal)

=> x = -2

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