Question 260505
The original question is
(i) {{{1100/(1+99e^(-.3t))=275}}}
step 1 - cross multiply to get
(ii) {{{1100 = 275*(1+99e^(-.3t))}}}
step 2 - divide by 275 to get
(iii) {{{4 = 1 + 99e^(-.3t)}}}
step 3 - subtract 1 to get
(iv) {{{3 = 99e^(-.3t)}}}
step 4 - divide by 99 to get
(v) {{{(1/33) = e^(-.3t)}}}
apply ln to both sdies to get
(vi) {{{ln(1/33) = -.3t}}}
multiply by -1/.3 to get
(vii) {{{(-1/.3)*ln(1/33) = t}}}
So, 
{{{t = 11.655}}}