Final answer:
The process to solve the equation '4ˣ - 2 = 20' includes isolating terms, changing the base for easier simplification, and using the property of equality of exponents to find the value of x.
Step-by-step explanation:
To solve the equation 4ˣ - 2 = 20, first you need to isolate the exponential term. This can be achieved by moving '-2' to the other side of the equation which gives 4ˣ = 22. Then, change the base '4' to '2' to simplify your calculations, yielding (2²)ˣ = 22. Simplify by raising the power of 2 by x which you can write as 2ˣ⁺ = 22. Finally, we can express 22 as 2⁵. Since the bases are the same, the exponents must also be equal which gives a solution, x=5.
Learn more about Solving Exponential Equations