Find the potential solution to the equation log₄(2 - x) = log₄(-5x - 18).

Solution:

Given, the equation is log₄(2 - x) = log₄(-5x - 18).

We have to find the potential solution to the given equation.

Taking antilog on both sides,

(2 - x) = (-5x - 18)

On simplification,

2 - x + 5x = -18

4x = -18 - 2

4x = -20

x = -20/4

x = -5

Therefore, the solution to the given equation is x = -5.

Find the potential solution to the equation log₄(2 - x) = log₄(-5x - 18).

Summary:

The potential solution to the equation log₄(2 - x) = log₄(-5x - 18) is x = -5.