Tag: the digits of 2^r is obtained by permuting the digits of 2^s in decimal expansion

August 30, 2019August 30, 2019 M CUBE: Math-e-Matics by Maheshwari RMO

Suppose for some positive integers r and s, the digits of 2^r is obtained by permuting the digits of 2^s in decimal expansion. Prove that r = s