设log3(4)*log4(8)*log8(m)=log4(16)那么m等于~

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设log3(4)*log4(8)*log8(m)=log4(16)那么m等于~设log3(4)*log4(8)*log8(m)=log4(16)那么m等于~设log3(4)*log4(8)*log8(

设log3(4)*log4(8)*log8(m)=log4(16)那么m等于~
设log3(4)*log4(8)*log8(m)=log4(16)
那么m等于~

设log3(4)*log4(8)*log8(m)=log4(16)那么m等于~
换底公式
lg4/lg3*lg8/lg4*lgm/lg8=log4(4²)
lgm/lg3=2
lgm=2lg3=lg9
m=9

9

原式=2log3(2)*log2²(2³)*log2³(m)
=2log3(2)*(3/2)*log2³(m)
=3log3(2)log2³(m)=2
∴m=9