Asample of bacteria has a doubling time of 30 minutes. if a student begins with 1 g of the bacteria, at what time will the sample weight 583.8 g

For this case we have a function of the form:
 
 Where,
 A: initial amount
 b: growth rate
 x: time in minutes
 Substituting values we have:
 
 By the time the sample weighs 583.8 g, we have:
 
 From here, we clear x:
 
 
 
 
 the sample will weight 583.8 g at 276 minutes