log3(4)·log4(8)·log8(m)=log4(16)则m=

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log3(4)·log4(8)·log8(m)=log4(16)则m=

log3(4)·log4(8)·log8(m)=log4(16)则m=
log3(4)·log4(8)·log8(m)=log4(16)则m=

log3(4)·log4(8)·log8(m)=log4(16)则m=
log3(4)·log4(8)·log8(m)=log4(16)
换底公式
lg4/lg3*lg8/lg4*lgm/lg8=lg16/lg4
lgm/lg3=lg(4^2)/lg4
log3(m)=2lg4/lg4=2
m=3^2=9

lg4/lg3 lg8/lg4 lgm/lg8=lg16/lg4
m=9