Write the following expression in expanded form. \[ \ln [x(x-1)] \] \[ \ln [x(x-1)]= \]

Step 1 ：Write the following expression in expanded form: \(\ln [x(x-1)]\)

Step 2 ：The natural logarithm, ln, has a property that allows the logarithm of a product to be written as the sum of the logarithms of the individual factors.

Step 3 ：In this case, the expression inside the logarithm, x(x-1), is a product of x and (x-1). Therefore, we can use the property of logarithms to write this as the sum of the logarithms of x and (x-1).

Step 4 ：Final Answer: \(\boxed{\ln [x(x-1)]= \ln x + \ln (x-1)}\)