Question

The population of deer in a certain national park can be approximated by the function
P(x) = 150 (1.07)^x
, where x is the number of years since 1995. In which year will the population reach 300?

Answer 1

300 = 150 (1.07)^x

take log both sides ?

Answer 2

2 = (1.07)^x
log 2 / log 1.07 = x ?

Answer 3

yup!
use calculator

Answer 4

answer should be x + 1995

Answer 5

10.2448 = x

Answer 6

yes add 1995 to that

Answer 7

oh, so 2005 then?

Answer 8

yes, in 2005 populatioon will reach 300