We have
22000 = 5000(1 + .03/4)^(4t) divide both sides by 5000
22/5 = (1.0075)^(4t) take the log of both sides
log(22/5) = log(1.0075)^(4t) and we can write
log(4.4) = (4t)*log(1.0075) divide both sides by log(1.0075)
log(4.4)/log(1.0075) = 4t divide both sides by 4
log(4.4) / [4*log(1.0075) = t ≈ 49.6 years
