Question $2$

For a given depth $d$ and node count. $n,$ the effective branching factor can be

calculated by solving the equation

$n=\frac{b^{+1}-1}{b-1}$

i$.$ Make $d$ the subject of the equation $($Show working$).$

ii$.$ Use the formula you derived from the previous question to calculate $d$ given

that the node count $n=111,$ and the effective branching factor $b=10.$