log3 4⼀log9 8=? (3、9为底数) 我的答案是1⼀2,对吗?

2025-12-16 00:16:09
推荐回答(2个)
回答1:

log3 4/log9 8
=2*log3 2/[(3/2)*log3 2]
=2/(3/2)
=4/3

loga^b(c^d)=d/bloga(c)

回答2:

log3(4)=2log3(2)
log9(8)=3log9(2)=3[log3(2)]/2
原式=4/3