What is the solution to this equation?

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

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