Homework Help: Math: Calculus

Posted by Maria on Monday, October 17, 2011 at 7:37pm.

Assume that a population size at time t is N(t) and that N(t)=40 x 2^t , t>0.

Show that N(t)=40e^t ln2

Can someone please guide me step by step on this question? Im really confused. thanks.

I tried to work it out, and this is what I got.

N(t)= 40 x 2^t
= 40 x ln 2^t
= 40 x t ln 2

Math: Calculus - bobpursley, Monday, October 17, 2011 at 8:19pm
changing the base of a log: Alg II

http://www.sosmath.com/algebra/logs/log4/log43/log43.html
Math: Calculus - Maria, Monday, October 17, 2011 at 8:29pm
I'm sorry, I still dont understand
Math: Calculus - Steve, Tuesday, October 18, 2011 at 12:25am
by definition, 2 = e^(ln 2)

Therefore, 2^t = e^(ln 2)^t = e^(t ln 2)

Make sense yet?

Now, ln (2^t) = t * ln 2

So, ln N = ln 40 + t ln 2

Answer this Question

Related Questions

Calculus - Suppose that you follow the size of a population over time. When you ...
Math - A rabbit population satisfies the logistic equation dy dt = 2x10^-7y(10^6...
MATH - A rabbit population satisfies the logistic equation dy/dx=2x10^7y(10^6-y...
precal - You can find the size of a population after t years using the formula N...
Math - HELP! i have no idea how to do this! A rabbit population satisfies the ...
MATH - I really don't know how to do this, need as soon as possible. Please ...
Math PLEASE HELP ASAP - I really don't know how to do this, need as soon as...
MATH - Please someone get back to me! I really don't know how to do this, ...
Math - The size of a bacteria population is given by P=C*e^(kt) Where C is the ...
math - A population of primates in a certain jungle is doubling each year. ...

For Further Reading

First Name:
School Subject:
Answer: