2^(2x)=16 Solve Algebraically showing all steps

Answer 1

To solve the equation 2^(2x) = 16 algebraically, follow these steps:

1. Rewrite the equation in terms of base 2: 2^(2x) = 2^4

2. Since the bases are the same, set the exponents equal to each other: 2x = 4

3. Solve for x by dividing both sides by 2: x = 2

Therefore, the solution to the equation 2^(2x) = 16 algebraically is x = 2.