Afamily of 3 mice move into your barn. after 4 months, there are now 32 mice. at 10 months, how many mice will you have in your barn? (show your work)

For this case we have an equation of the form:
 
 Where,
 A: initial amount
 b: growth rate 
 x: time in months
 We must find the values of A and b.
 For A we have:
 
 For B we have:
 
 Clearing b we have:
 
 Then, for 10 months we have:
 
 
 you will have in your barn 1132 mice after 10 months