MathDB

Geometric Series & Logarithms

Source:

December 28, 2006

logarithmsratiogeometric sequence

Problem Statement

It is given that

\log_{6}a+\log_{6}b+\log_{6}c=6,

where

a,

b,

and

c

are positive integers that form an increasing geometric sequence and

b-a

is the square of an integer. Find

a+b+c.