MathDB

Exponential inequality for integers a,b

Source: CentroAmerican 2003

November 29, 2010

inequalitiescalculuslogarithmsinductioninequalities proposed

Problem Statement

Let

a

and

b

be positive integers with

a>1

and

b>2

. Prove that

a^b+1\ge b(a+1)

and determine when there is inequality.