若log2 3×log3 6×log6 m=log3 27,则m=
问题描述:
若log2 3×log3 6×log6 m=log3 27,则m=
紧贴log的是底数,空格之后的是真数
答
log2 3 × (log2 6)/(log2 3) ×log6 m=3
log2 6 × log6 m=3
(log6 6/log6 2) × log6 m=3
log2 m=3
m=3有没有过程?log2 3 ×(log2 6)/(log2 3) ×log6 m=3log2 6 ×log6 m=3(log6 6/log6 2) × log6 m=3log2 m=3m=8