You are here:

- Home
- Science
- Math for Kids
- Algebra
- Write the function in the form

Advertisement

Write the function in the form P=P0e^kt

P=15(2.5)^t

P=

Note that in mathematices, exponets are calculated first, so what is written is really

P = P0(e^k)t, but we both know that this is not what is meant.

The equation is really P = P0*e^(kt).

It is known that b*ln(a) = ln(a^b).

Taking the exponential of each side gives e^(b*ln(a)) = e^ln(a^b).

Taking the exponential of a ln() cancels, leaving e^(b*ln(a)) = a^b.

This gives a^b = e^(b*ln(a)).

This means that 2.5^t = e^(t*ln(2.5)).

From here, it can be seen that if P0 = 15 and k = ln(2.5), we get P = P0e^(kt).

Algebra

Answers by Expert:

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

I have solved story problems, linear equations, parabolic equations.
I have also solved some 3rd order equations and equations with multiple variables.
**Publications**

Documents at Boeing in assistance on the manufacturiing floor.**Education/Credentials**

MS at math OSU in mathematics at OSU, 1986.
BS at OSU in mathematical sciences (math, statistics, computer science), 1984.
**Awards and Honors**

Both my BS and MS degrees were given with honors.
**Past/Present Clients**

Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.