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
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