Just set the equations equal and solve for t
9.04 (1.05)^t = 10.1(0.98)^t divide both sides by 9.04
(1.05)^t = (10.1 / 9.04) (0.98)^t divide both sides by (0.98)^t
(1.05)^t / ( 0.98)^t = (10.1 / 9.04) and we can write
(1.05 / 0.98 )^t = (10.1 / 9.04) take the log of both sides
log (1.05 / 0.98)^t = log ( 10.1 / 9.04) and by a log property
t * log ( 1.05 / 0.98) = log (10.1 / 9.04) divide both sides by log (1.05/0.98)
t = log (10.1 / 9.04) / log ( 1.05 / 0.98) ≈ 1.607 years ≈ 2007
