State the law of logic that is illustrated.
If 𝑥 + 2 = 4, then 𝑥 = 2.
If 𝑥 = 2, then 𝑥²  = 4.
If 𝑥+2=4, then 𝑥² = 4

The correct answer is: Hence, the law of logic which is used in these statements is the law of syllogism

It is given that: If 𝑥 + 2 = 4, then 𝑥 = 2, If 𝑥 = 2, then 𝑥²  = 4 and If 𝑥+2=4, then 𝑥²=4. So if we take
p: 𝑥 + 2 = 4
q: 𝑥 = 2
r: 𝑥²  = 4
So can write the given statement “If 𝑥 + 2 = 4, then 𝑥 = 2” as p  q and the statement “If 𝑥 = 2, then 𝑥²  = 4” can be written as q  r and also the statement “If 𝑥+2=4, then 𝑥² = 4” can be written as p  r.
So we can see that we are given: p   q is true
q   r is true
p   r is true
This statement resolves the law of syllogism which states that if p  q is true and If q   r is true then we can conclude that p  r is also true
Final Answer:
Hence, the law of logic which is used in these statements is the law of syllogism