Solve for x: 2^x = sqrt(16)

Step 1: Simplify the right side of the equation. We need to find the square root of 16. $\sqrt{16} = 4$

Step 2: Rewrite the original equation with the simplified value. The equation becomes: $2^x = 4$

Step 3: Express both sides of the equation with the same base. We know that $4$ can be written as $2$ raised to the power of $2$. $4 = 2^2$ So, the equation is: $2^x = 2^2$

Step 4: Equate the exponents. Since the bases are the same, the exponents must be equal. $x = 2$

The final answer is $\boxed{2}$.

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