Which of the following IS NOT equivalent to the expression $\log _{2}\left(10 x^{2}\right)$ ? $\log _{2}\left(2 x^{2}\right)+\log _{2}(5)$ $\log _{2}\left(x^{2}\right)+10$ $\log _{2}(2 x)+\log _{2}(5 x)$ $\log _{2}(2)+\log _{2}\left(5 x^{2}\right)$ $\log _{2}(10)+\log _{2}\left(x^{2}\right)$

Step 1 ：Given the expression \(\log _{2}\left(10 x^{2}\right)\)

Step 2 ：We can use the properties of logarithms to simplify each of the given expressions and compare them to the original expression.

Step 3 ：\(\log _{2}\left(2 x^{2}\right)+\log _{2}(5)\) simplifies to \(\log _{2}\left(10 x^{2}\right)\), which is equivalent to the original expression.

Step 4 ：\(\log _{2}\left(x^{2}\right)+10\) does not simplify to \(\log _{2}\left(10 x^{2}\right)\), so it is not equivalent to the original expression.

Step 5 ：\(\log _{2}(2 x)+\log _{2}(5 x)\) does not simplify to \(\log _{2}\left(10 x^{2}\right)\), so it is not equivalent to the original expression.

Step 6 ：\(\log _{2}(2)+\log _{2}\left(5 x^{2}\right)\) simplifies to \(\log _{2}\left(10 x^{2}\right)\), which is equivalent to the original expression.

Step 7 ：\(\log _{2}(10)+\log _{2}\left(x^{2}\right)\) simplifies to \(\log _{2}\left(10 x^{2}\right)\), which is equivalent to the original expression.

Step 8 ：Thus, the expressions \(\log _{2}\left(x^{2}\right)+10\) and \(\log _{2}(2 x)+\log _{2}(5 x)\) are not equivalent to the original expression \(\log _{2}\left(10 x^{2}\right)\).

Step 9 ：However, the question asks for the one that is not equivalent, so the final answer is \(\boxed{\log _{2}\left(x^{2}\right)+10}\) or \(\boxed{\log _{2}(2 x)+\log _{2}(5 x)}\).