Differentiate the following w.r.t $x$ : $log\begin{bmatrix}log\bigg(log x^5\bigg)\end{bmatrix}$.

Question

$\begin{array}{1 1}\large\frac{5x}{\log x^5.\log(\log x^5)} \\ \large\frac{5}{x\log x^5.\log(\log x^5)} \\ \large\frac{5\log x^5}{x\log(\log x^5)} \\ \large\frac{x}{\log x^5.\log(\log x^5)}\end{array}$