$5.$ For the functions f$($x$)=$ log with base $2($x$)$ and g$($x$)=$ log with base $2($x $1)$:

a$.$ Sketch the functions, identifying $4$ key points of each. Be sure to label the points. $[3$ marks$]$

b$.$ State $2$ similarities and $2$ differences between f$($x$)$ and g$($x$).[2$ marks$]$