Question 239105
5^(3-x) = 1/125


since 5^3 = 125, then 5^(-3) = 1/5^3 = 1/125


we have 5^-3 = 1/125 which means that:


3-x = -3 which means that

x = 6


your equation becomes:


5^(3-6) = 1/125 which becomes:


5^(-3) = 1/125 which becomes:


1/5^3 = 1/125 which becomes:


1/125 = 1/125 which is true so the answer of x = 6 is good.