please help!!! study guide.. The population (in millions) of a certain country can be approximated by the function: P(x)=50*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 100 million?

Question

please help!!!  study guide.. The population (in millions) of a certain country can be approximated by the function: P(x)=50*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 100 million?

anonymous · Answer

a. ln(2/1.02)+2000     b. ln(2)/ln(1.02)+2000    c. ln(2/1.02)    d. ln(2)/ln(1.02)

kropot72 · Answer

Substitute 100 for P(x) and get 
100 = 50 * 1.02^x
I you divide both sides of the last equation by 50 what will you get?

anonymous · Answer

i got x=50.4983ln(2)

anonymous · Answer

but i'm not quite sure which answer that would be our of the multiple choice answers :(

kropot72 · Answer

To find the correct choice, can we work through together startin with dividing both sides of the following equation by 50:
100 = 50 * 1.02^x

kropot72 · Answer

starting*

anonymous · Answer

yes

anonymous · Answer

do you know which answer it is?