Answer:
C. x = -2
Step-by-step explanation:
(I am assuming you mean [tex]256 = \frac{1}{4}^{3x+2}[/tex])
In that case, first, set up the right side to [tex]\frac{1}{4}^x[/tex]: 256 is just 1/4 to the -4th power, so now the equation is [tex]\frac{1}{4}^{-4} = \frac{1}{4}^{3x+2}[/tex]
Since the bases of both sides are the same, you can just directly solve for x using only the exponents:
-4 = 3x+2
-6 = 3x
x = -2
Therefore the answer is C.
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