Question 319724
You again, Charlie?


multiplying by n/r ___ {{{wn/r =(P(1+r/n)^(nt-1)) / ((1+r/n)^(nt)-1)}}}


multiplying by {{{((1+r/n)^(nt)-1)}}} ___ {{{(((1+r/n)^(nt))(wn/r)) - (wn/r) = (P(1+r/n)^(nt-1))}}}


subtracting {{{((1+r/n)^(nt))(wn/r))}}} ___ {{{-wn/r = (P(1+r/n)^(nt-1)) - ((1+r/n)^(nt))(wn/r))}}}


factoring ___ {{{-wn/r = ((1+r/n)^(nt)) ((P(1+r/n)^(-1)) - (wn/r))}}}


dividing by {{{((P(1+r/n)^(-1)) - (wn/r))}}} ___ {{{(-wn/r)/(((P(1+r/n)^(-1)) - (wn/r))) = ((1+r/n)^(nt))}}}


taking log ___ {{{log(((-wn/r)/(((P(1+r/n)^(-1)) - (wn/r))))) = (nt) (log((1+r/n)))}}}


dividing by {{{n(log((1+r/n)))}}} ___ {{{log(((-wn/r)/(((P(1+r/n)^(-1)) - (wn/r)))))/(n (log((1+r/n))))= t}}}


hope this works for you