Anyone know how to do this proof?

[KevinF]

Prove that:

e^(A+B) = e^A * e^B
if BA=AB

 

[TheoPetro]

throw some "ln"s around and see what happens. im not too sure.

 

[Amplifier]

Originally posted by: KevinF
Prove that:

e^(A+B) = e^A * e^B
if BA=AB

Because Jesus said so.

 

[altonb1]

Proofs suck. I was never very good at them. Sorry...

Try homework tutors.

 

[Atomicus]

Umm you're kidding me right?

x^n * x^y = x^(x+y)

its a simple proof of powers

ex: 2^2 * 2^4 = 2^6

 

[KevinF]

I got it, thanks.

http://whyslopes.com/freeAccess/natural_logarithms_and_exponenti.html

 

[thelanx]

Originally posted by: Atomicus
Umm you're kidding me right?

x^n * x^y = x^(x+y)

its a simple proof of powers

ex: 2^2 * 2^4 = 2^6

I think the point is to prove that theorem, so you can't use it to prove itself.

OP, if you can use ln, it should be pretty simple, but probably not because ln identities are so similar to power identities.

Alternately, try writing e^A*e^B as e*e*e...A times multiplied by e*e*e...B times. Then using the associative property show that it is the same as e*e*e*e*e a total of A+B times.