1. The problem states that \(\log x \log x\) is the same as the square of \(\log x\). 2. We start with the expression \(\log x \log x\). 3. Since multiplication is commutative, this is \((\log x) \times (\log x)\). 4. Multiplying any term by itself is equivalent to raising it to the power of 2, so \((\log x) \times (\log x) = (\log x)^2\). 5. Therefore, \(\log x \log x = (\log x)^2\) as stated.