# Math Help - prove

1. ## prove

if a=/= b , a and b positive

prove

$\sqrt{ab}<\frac{a-b}{\ln{a}-\ln{b}}<\frac{a+b}{2}$

2. Originally Posted by perash
if a=/= b , a and b positive

prove

$\sqrt{ab}<\frac{a-b}{\ln{a}-\ln{b}}<\frac{a+b}{2}$
$\frac{a-b}{\ln{a}-\ln{b}}$!!

It's reciprocal looks like a nice candidate for MVT

3. Why is this in "Pre-Algebra and Algebra"?