Find the value of x in each of the following. 

$\left(iv\right) 5^{x-2} \times 3^{2x-3} = 135 \left(v\right) 2^{x-7} \times 5^{x-4} = 1250 \left(vi\right) {\left(\sqrt[3]{4}\right)}^{2x + \frac{1}{2}} = \frac{1}{32}$