Question

已知2^10=a^4=4^b(其中a.b为正整数）,求a^b的值

Answer 1

log(2)a^b=blog(2)a=log(4)2^10*log(2)(2^10)^(1/4)=(log(2)2^10/log(2)4)*(1/4)log(2)(2^10)=(10/2)*(1/4)*10=5*10/4=25/2;

a^b=2^(12.5);