logA,logB,logC都有意義
A^2<B*C且B,C相異
試討論(logA)^2與(logB)*(logC)之大小?
一陣風 寫到:情形1.若B>A,C>A,則顯然(logA)^2 < (logB)(logC)
情形2.在不失一般性之下令B>A>C且BC>A^2,則不一定.
例如B=100,A=10,C=根號10,此時1 = (logA)^2 = (logB)(logC).
B=100,A=10,C=3,此時(logA)^2 > (logB)(logC).
B=100,A=10,C=根號11,此時)(logA)^2 < (logB)(logC).