The lengths of the sides of a triangle are ,

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The lengths of the sides of a triangle are

\log_{10}12

\log_{10}75

, and

\log_{10}n

, where

n\in\mathbb N

. If

a

and

b

are the least and greatest possible values of

n

, respectively, then

b-a

is divisible by (1) 221 (2) 222 (3) 223 (4) 224