find x (1/2)^x = 4
(1/2)^x = 4
Note that 1/2 = 2^-1 and 4 = 2^2 .....so....
(2^-1)^x = (2)^2
2^(-x) = (2)^2 and since the bases are the same, we can solve for the exponents
-x = 2 multiply both sides by a negative
x = -2