If f(x) = 3^(x+1) and g(x) = 9^(x-1), for what value of x is f(x) = g(x)?

✓ Correct Answer: Option C

Set f(x) = g(x): 3^(x+1) = 9^(x-1). Since 9 = 3², we can write 3^(x+1) = (3²)^(x-1) = 3^(2(x-1)). Equating the exponents: x+1 = 2(x-1) => x+1 = 2x-2 => 3 = x.