The population (in millions) of a certain country can be approximated by the function: P(x)=40*1.02^x, where x is the number of years after 2000. Which of the following calculations will tell in what year the population can be expected to reach 200 million?

A. $$\frac{ \ln(5) }{ \ln(1.02) }$$

B. $$\ln(\frac{ 5 }{ 1.02 })$$

C. $$\ln(\frac{ 5 }{ 1.02 })+2000$$

D. $$\frac{ \ln(5) }{ \ln(1.02) }+2000$$

Question

The population (in millions) of a certain country can be approximated by the function: P(x)=40*1.02^x, where x is the number of years after 2000. Which of the following calculations will tell in what year the population can be expected to reach 200 million?

A. $$\frac{ \ln(5) }{ \ln(1.02) }$$

B. $$\ln(\frac{ 5 }{ 1.02 })$$

C. $$\ln(\frac{ 5 }{ 1.02 })+2000$$

D. $$\frac{ \ln(5) }{ \ln(1.02) }+2000$$