Final answer:
The solution set to the equations 8(2ˣ-3) and (20 - 4ˣ) is x = 2.2.
Step-by-step explanation:
The solution set to the equations 8(2ˣ-3) and (20 - 4ˣ) can be found by setting the two expressions equal to each other and solving for x.
8(2ˣ-3) = 20 - 4ˣ
First, distribute the 8 on the left side of the equation:
16ˣ - 24 = 20 - 4ˣ
Next, combine like terms:
16ˣ + 4ˣ = 20 + 24
20ˣ = 44
Finally, divide both sides by 20 to solve for x:
x = 44/20
Therefore, the solution set is x = 2.2.