Guest jmcgigge Posted April 28, 2004 Share Posted April 28, 2004 I'm trying to find a proof for the following equation: x*y^ln(x)=x^ln(y)+1 It works when I punch it into my TI-89, but I can't figure out why... Link to comment Share on other sites More sharing options...
MandrakeRoot Posted April 29, 2004 Share Posted April 29, 2004 How about x^(ln y + 1) = exp( (lny + 1)lnx ) = exp (ln x) exp(ln x ln y) = x y^(ln x) Remember that by definition x^alpha is defined as exp (alpha ln x) Mandrake Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now