What is the solution to the equation 2ln x = ln(x+3) + ln(x-1)?

When substituting x = 2/3 into the original equation, the left-hand side becomes 2ln(2/3), while the right-hand side simplifies to ln(2/3 + 3) + ln(2/3 - 1). The right-hand side becomes undefined since ln(2/3 - 1) involves the logarithm of a negative number, indicating that this choice is not a valid solution.

Plugging x = sqrt(3) into the equation leads to a left-hand side of 2ln(sqrt(3)), while the right-hand side simplifies to ln(sqrt(3) + 3) + ln(sqrt(3) - 1). The term ln(sqrt(3) - 1) is valid but does not equal the left-hand side value, making this option incorrect.

For x = 1 + sqrt(3), the left-hand side becomes 2ln(1 + sqrt(3)), while the right-hand side is ln((1 + sqrt(3)) + 3) + ln((1 + sqrt(3)) - 1). Although both sides yield real numbers, they do not match each other, thus this option does not satisfy the equation.

This choice is incorrect because the equation does indeed have a valid solution, which is x = 3/4. Since we found a solution that satisfies the logarithmic equation, this option is not accurate.