Question 910223
{{{t=7}}};
;
{{{3000e^(0.09*7)=5000e^(k*7)}}}


{{{3e^(6.3)=5e^(7k)}}}


{{{(1/5)3^(6.3)=e^(7k)}}}


{{{ln(e^(7k))=ln(1/5)+(6.3)ln(3)}}}


{{{7k=6.3*ln(3)-ln(5)}}}


{{{highlight(k=((6.3)ln(3)-ln(5))/7)}}}