Solve.

$lo{g}_x(\frac{x^2+4x-4}{x-1})=3-lo{g}_x(x-1)$

$(6)$

$4.$ The expression $\frac{2}{5}(lo{g}_{2}3+4)$ can be simplified to a final answer of $\frac{log2304}{log32}.$ Use your knowledge of logarithms, their laws and fractions to show how the first expression can be simplified to the final answer. Be sure to clearly show all steps leading to the final answer.

$(5)$Please answer BOTH questions at a grade $12$ level using Expontetial and Logarithmic Unit $($no calculus$)$ please also provide all steps and extra steps to ensure full marks