Question 193606
100(1.04)^2t=5000
(1.04)^2t=50
log  both  sides
log((1.04)^2t)=log50
but  logx^y=ylogx
2tlog(1.04)=log50
2t=log50/log(1.04)=99.743
divide  by  2
t=49.87

check
100(1.04)^2(49.87)=5000
100(1.04)^99.743=5000
5000=5000,,,ok