Answer:
log (1.0406039474) = log ((1.01)0.04t)
log (1.0406039474) = 0.04t * log (1.01) - Power Rule
log (1.0406)/log(1.01) = 0.04t
log1.01(1.0406) = 0.04t - change of base formula
t = log1.01(1.0406) / 0.04
t = 99.99031
I'd round this up to 100 years.