John is trying to predict how many residents will be residing in Prairieville next year, so he asks you for help. He sees that in 2014 there were 2000 residents, in 2015 there were 4000 residents, in 2016 there were 8000 residents, and in 2017 there were 16000 residents. Using the pattern, predict what the number of residents will be next year in 2018.

18

step-by-step explanation:

7.3

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752