So working on a exp growth word problem. I see the function should be P(t) = P0e^kt

however they give me a function in the problem already

f(t) = 100,000/(1+5000e^-t)

so when solving should I just use the function they gave me instead of the P(t) = ?

they want initial start of population, population after 4 weeks, and how many weeks to reach 40,000

I get this for the first

1) f(t) = 100,000/(1+5000e^0) = 100,000/5001

2) f(t) = 100,000/(1+5000e^4) = correct form to put into calcualtor?

3) this is where we need to solve for t correct?

im completly lost on how to solve for t. I know 1^-x = 1/x..but will this work for e^-1 or should I just move it in front. blah :/