algebra problem

Question

Determine the expression for ? that would make the statement true.

2^x+2/4=2^?

Answer 1

2^(x+2) = 2^? * 4

2^(x+2) = 2^? * 2²

= 2^(?+2)

2^(x+2) = 2^(?+2)

x+2 = ?+2

? = x

Answer 2

2^(x+2) / 4 = 2^(x+2) / 2² = 2^{(x+2) - 2} = 2^x. So, ? = x.

Answer 3

2^x + 2 = 4*2^? <--- multiplies both sides by 4;

2^x + 2 = 2^2 *2^?

2^(x+2) = 2^(?+2)

?=x