If a star's temperature were doubled, its new luminosity would be 4x the original luminosity?

I know that the higher an object’s temperature, the more energy and higher frequencies it emits, but how do you know how strong it will be? I know it would be 2x, 4x, or maybe even 16x

How do u know?

I don't remember this off the top of my head. I can find out when I get home (if I finish my homework on time =] )

you can hunt through here for answers :
http://en.wikipedia.org/wiki/Luminosity
gotta love wikipedia =]

i googled the term luminosity and here is the first link
http://astrosun2.astro.cornell.edu/academics/courses//astro201/lumin_star.htm

T^4, guys. It should be 16X brighter.

according to the link i gave

L=R^2 X T^4


A hotter star is more luminous than a cooler one of the same radius
A bigger star is more luminous than a smaller one of the same temperature