Solve the equation $$2^{x + 2} - 5 \cdot 2^x + 4 = 0$$ . The...

Question Analysis
This problem assesses the ability to solve exponential equations using substitution and factoring.

Key Concept Explanation
The equation involves an exponential term with a variable in the exponent. By substituting a new variable, we can simplify the equation and solve it.

Step-by-step Solution
1. Let . Then the equation becomes .
2. Simplify the equation: .
3. Solve for : .
4. Substitute back :