b$)$ In part b$)$ all working must be clearly shown.

Solve the equations:

i$.,lo{g}_4(512)=x$

ii$.,(lo{g}_{4}x{)}^3=512$

iii. $\frac{3x^2(2x^3{)}^2}{\sqrt[3]{(8x^{12})}}=\frac{32}{27},(x>0)$