Question

Help please! 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

a)2005
b)2028
c)2016
d)2026

Answer 2

sorry b is incorrect its 2038

Answer 3

well let P(x) =300

so

\[300 = 150(1.07)^x\]

divide both sides of the equation by 150.

take the log of both sides

this should make it easier for find x, you'll just need to apply the log law for powers

\[\log(x^a) = alog(x)\]

Answer 4

i got 2005?

Answer 5

seems a sensible answer