1. The problem is to understand and work with the expression \(\log^3(x)\), which means \((\log(x))^3\), not the cube of \(x\) itself. 2. The notation \(\log^3(x)\) means the cube of the logarithm of \(x\), i.e., \(\log^3(x) = (\log(x))^3\). 3. Important rule: \(\log^3(x)\) is not \(\log(x^3)\). The latter equals \(3\log(x)\) by the logarithm power rule. 4. For example, if \(\log(x) = y\), then \(\log^3(x) = y^3\). 5. If you need to simplify or evaluate \(\log^3(x)\), first find \(\log(x)\), then cube the result. Final answer: \(\log^3(x) = (\log(x))^3\).