是不是:
[log3(2)+log9(2)][log4(3)+log8(3)]
=[log3(2)+1/2log3(2)][1/2log2(3)+1/3log2(3)]
=log3( 2•2^(1/2) )×log2( 3^(1/2)•3^(1/3) )
=[3/2log3(2)]×[5/6log2(3)]
=5/4
是不是:
[log3(2)+log9(2)][log4(3)+log8(3)]
=[log3(2)+1/2log3(2)][1/2log2(3)+1/3log2(3)]
=log3( 2•2^(1/2) )×log2( 3^(1/2)•3^(1/3) )
=[3/2log3(2)]×[5/6log2(3)]
=5/4