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STatiana [176]
2 years ago
11

FOR 50 POINTS!

Mathematics
1 answer:
Elina [12.6K]2 years ago
4 0

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:

4^{8-2x} = 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 4^{4}

4^{8-2x} = 4^{4}

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

#SPJ1

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