There are 50 rabbits on a farm. they are increasing at the rate of 12% every month. how many months will it be until there are 1000 rabbits?

Each month there will be 112% of the previous month so the multiplier is 1.12

basically it's trial and error

after 1 month there will be 50 x 1.12 = 56

after 2 months there will be 50 x 1.12^2 = 63

after 20 months there will be 50 x 1.12^20 = 482

after 25 months there will be 50 x 1.12^25 = 850

after 30 months there will be 50 x 1.12^30 = 1498

this is too many so try lower values

after 28 months there will be 50 x 1.12^28 = 1194

after 27 months there will be 50 x 1.12^27 = 1066

after 26 months there will be 50 x 1.12^26 = 952