I was thinking of using convex function properties to prove the following inequality but couldn't. I'm not sure what else should I use.

$\displaystyle 1-(a/b)<ln(b/a)<(b/a) -1 $

given that $\displaystyle 0<a<b$

Printable View

- Jun 1st 2010, 06:51 AMGIPCProving an Inequality
I was thinking of using convex function properties to prove the following inequality but couldn't. I'm not sure what else should I use.

$\displaystyle 1-(a/b)<ln(b/a)<(b/a) -1 $

given that $\displaystyle 0<a<b$ - Jun 1st 2010, 07:08 AMPlato