Saturday

August 2, 2014

August 2, 2014

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

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 8:19pmchanging 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 8:29pmI'm sorry, I still dont understand

- Math: Calculus -
**Steve**, Tuesday, October 18, 2011 at 12:25amby 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

**Related Questions**

Calculus - Suppose that you follow the size of a population over time. When you ...

Math - can someone show me a step by step guide converting this please 2.483 X ...

Calculus - Find the second derivative of the following function: y=log(base2)x/x...

TRIGONOMETRY - Can someone please show me step by step how to calculate the ...

MATH - Please someone get back to me! I really don't know how to do this, need ...

Algebra - I am stuck in exponential growth and decay. Here is an example. Can ...

Math - The size of a bacteria population is given by P=C*e^(kt) Where C is the ...

precal - You can find the size of a population after t years using the formula N...

Math (Calculus?) - [x^5(-3)(x^2+1)^-4(2x)]-(x^2+1)^-3(5)x^4] / (x^5)^2 Can ...

Pre-calculus - can someone show how to graph step by step the polynomial ...