If 2^(x-1) * 4^(x+1) = 16, what is the value of x?

✓ Correct Answer: Option C

Rewrite all terms with base 2: 2^(x-1) * (2^2)^(x+1) = 2^4. This simplifies to 2^(x-1) * 2^(2x+2) = 2^4. Combining exponents: 2^(x-1+2x+2) = 2^4, so 2^(3x+1) = 2^4. Thus, 3x+1 = 4, which means 3x = 3, and x = 1.