Question 675532
(1/5)^(x-1)=25


(5^(-1))^(x-1)=5^2


5^(-(x-1))=5^2


Since the bases are equal to 5, the exponents must be equal.


-(x-1) = 2


-x+1 = 2


-x = 2-1


-x = 1


x = -1


So the solution is x = -1