MathDB

TOT 2006 Spring - Senior A-Level p2 first decimals of 2^n is 5^k

Source:

February 25, 2020

number theory

Problem Statement

Are there exist some positive integers

n

and

k

, such that the first decimals of

2^n

(from left to the right) represent the number

5^k

while the first decimals of

5^n

represent the number

2^k

? (5)