Answer:
x = -7/2
Step-by-step explanation:
(1/4) ^ (x+1) = 32
Rewriting 32 as 2^5 and 1/4 and 2^-2
2^-2 ^ (x+1) = 2^5
We know that a^b^c = a^ ( b*c)
2 ^ (-2x-2) = 2 ^ 5
Since the bases are the same, the exponents have to be the same
-2x-2 = 5
Add 2 to each side
-2x = 7
Divide by -2
x = -7/2
