e, $-(1-x)^{3}$ = -216
=> $(x-1)^{3}$ = 216
=> x-1=6
=> x=7
f, $3^{x+1}$ - $3^{x}$ = 162
=> $3^{x}$.3 - $3^{x}$ = 162
=> $3^{x}$.(3-1) = 162
=> $3^{x}$ = 81
=> $3^{x}$ = $3^{4}$
=> x=4
g, $16^{x}$ : $4^{x}$ = 16
=> $(16:4)^{x}$ = 16
=> $4^{x}$ = $4^{2}$
=> x=4