Question 773818
i is assumed in decimal form.  Choose a=2 and p=1.  n=8 as given.
SOLVE FOR i.  This will involve logarithms.


{{{2=1*(1+i)^n}}}
{{{2=(1+i)^8}}}
{{{log(2)=log((1+i)^8)}}}
{{{log(2)=8*log((1+i))}}}
{{{log((1+i))=(1/8)log(2)}}}


To continue, decide which base you want.  Euler number, or ten.  Either of them would be practical.  You would want to actually solve for {{{(1+i)}}} and then subtract 1 in order to have i.  


Continuing with base-ten, {{{log(10,(1+i))=0.03763}}}
{{{10^0.03763=1+i}}}
{{{highlight(1+i=1.090508)}}}
{{{highlight(i=0.0905)}}} staying with just three significant figures.  This means 9.05%