Respuesta :

log₄(2 – x) = log₄(–5x – 18).

Since the logs have the same basis (4) & are equal then:

(2 – x) = (–5x – 18).  . Now solve for x & you will find x = -5

Using anti-log to simplify the problem. Then the value of x is negative 5.

What is simplification?

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The potential solution to the equation [tex] log_4(2-x) = log_4(-5x -18) [/tex].

The value of x will be

[tex] log_4(2-x) = log_4(-5x -18) [/tex]

Take anti-log. then we have

2-x = -5x - 18

On simpliying,

5x - x = -18 - 2

    4x = - 20

      x = -5

Thus, the value of x is negative 5.

More about the simplification link is given below.

https://brainly.com/question/12616840