The integer can be written in the form for several integer bases

MATHEMATICS · Single correct · CBSE · Mathematics · Power Play · Power Play

Problem

The integer

4096

can be written in the form

b^k

for several integer bases

b>1

. For which base

b

does

k

have the smallest positive integer value? (a)

2

(b)

8

(c)

16

(d)

4