Question

Country A has a growth rate of 4.2% per year. The population is currently 5,853​,000, and the land area of Country A is 11​,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

Answer 1

4.2% grown rate per year
so lets say currently the population is at
P, in 1 year you will have P(1+0.042)
in 2 years you will have P*(1+0.042)*(1+0.042) = P*(1+0.042)^2
in n years you will have P*(1+0.042)^n

Answer 2

5,853​,000 (1+0.042)^n=11​,000,000,000
solve for n

Answer 3

Hi, do you want to continue you from here, you must use log function

Answer 4

remember that
if u have
x^n=y
if you want to solve for n
Start by taking log of both sides
log(x^n)=log(y)
now the left side simplfies to
nlog(x)=log(y)
n=log(y)/log(x)

Answer 5

I see what you're saying. I'm not sure how to plug it in though.