7) 2^(x+2) + 2^x > 20

1. Factor out $$2^x$$: $$2^x(2^2 + 1) > 20$$

2. Simplify: $$2^x(5) > 20$$

3. Isolate $$2^x$$: $$2^x > 4$$

4. Rewrite with the same base and solve: $$2^x > 2^2 > x > 2$$.