The value of x in the equation is 2.
<h3>What is indices?</h3>
Indices singular index is a branch of algebra that deals with the power or exponent of variables.
Laws of indices help us to evaluate indicial expressions and equations.
Analysis:
= 256
Here 4 is the base number while 8-2x is the exponent or index.
So for us to evaluate this, we need to write 256 in its index form having its base as 4 also.
so 256 in base 4 index form is 
= 
since both sides have the same base number, we equate only their exponent
8-2x = 4
-2x = 4 - 8
-2x = -4
x = -4/-2 = 2
Learn more about indices: brainly.com/question/10339517
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