Solve 5^(2-x) = 1/125 for x.

Answer 1

5^(2-x) = 1/125
note that we can rewrite 125 as 5^3
thus, we replace the term on the right side of equation:
5^(2-x) = 1/(5^3)
note also that we can still rewrite 1/(5^3) as 5^(-3). thus,
5^(2-x) = 5^(-3)
now that the bases (the 5) are equal, we equate their exponents:
2 - x = -3
-x = -3 - 2
x = 5

hope this helps~ :)

Answer 2

Thankk you! Took me long to figure it out!