Question

$$\left. \begin{array} { l } { 4 } \\ { \log _ { 5 } 500 - 2 \log _ { 5 } ^ { 2 } + \log _ { 4 } ^ { 32 } + \log _ { 4 } 8 } \end{array} \right.$$

Evaluate

$4,\ \frac{-2048\ln(\frac{\log_{2}\left(3\right)-1}{2})^{2}+\ln(5)\ln(500)}{\ln(5)^{2}}$