The value of expression ( log 100 10)( log 2( log 4 2))( log 4( log 2(256)2)) is

Question

The value of expression ( log 100 10)( log 2( log 4 2))( log 4( log 2(256)2)) is (A) -1 (B) 2 (C) 4 (D) 1

Tardigrade Admin · Accepted Answer

E =( log 100 10)( log 2( log 4 2))( log 4( log 2(256)2)) =((1/2))(-1)(2)=-1

Q. The value of expression $(lo g_{100} 10) (lo g_{2} (lo g_{4} 2)) (lo g_{4} (lo g_{2} (256)^{2}))$ is