(y-5)^48 = 96^3(y-5) = 96^(32/48(y-5) = 96^(2/3(y-5) = (4^2)^(2/3(y-5) = 4^(2*2/3(y-5) = 4^(4/3(y-5) = 4^1.33
Now, we need to solve for y:
(y-5) = 5.27y = 10.278
Therefore, the solution to the equation (y-5)^48 = 96^32 is y = 10.278.
(y-5)^48 = 96^3
(y-5) = 96^(32/48
(y-5) = 96^(2/3
(y-5) = (4^2)^(2/3
(y-5) = 4^(2*2/3
(y-5) = 4^(4/3
(y-5) = 4^1.33
Now, we need to solve for y:
(y-5) = 5.27
y = 10.278
Therefore, the solution to the equation (y-5)^48 = 96^32 is y = 10.278.