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In great detail, describe how to solve the advanced function below.

4^(8 - 2x) = 256

I understand the solution to the problem is (2). I would like a detailed description of how exactly to solve this problem.

Respuesta :

batolisis

The value of x in the equation is 2.

What is indices?

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:

[tex]4^{8-2x}[/tex] = 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 [tex]4^{4}[/tex]

[tex]4^{8-2x}[/tex] = [tex]4^{4}[/tex]

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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