(log4(3)+log8(3))*(lg2⼀lg3)

2024-12-17 13:25:55
推荐回答(2个)
回答1:

用换底公式
原式=(lg3/lg4+lg3/lg8)*(lg2/lg3)
=(lg3/2lg2+lg3/3lg2)*(lg2/lg3)
=(1/2+1/3)(lg3/lg2)(lg2/lg3)
=5/6

回答2:

=2log2(3)+3log2(3)*log3(2)
=2log2(3)+3