:若log3(4)*log4(8)*log8(m)=log4(16),则m等于( )A 1/2 B 9 C 18 D 27答案是B但为什么?

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:若log3(4)*log4(8)*log8(m)=log4(16),则m等于()A1/2B9C18D27答案是B但为什么?:若log3(4)*log4(8)*log8(m)=log4(16),则m等

:若log3(4)*log4(8)*log8(m)=log4(16),则m等于( )A 1/2 B 9 C 18 D 27答案是B但为什么?
:若log3(4)*log4(8)*log8(m)=log4(16),则m等于( )
A 1/2 B 9 C 18 D 27
答案是B但为什么?

:若log3(4)*log4(8)*log8(m)=log4(16),则m等于( )A 1/2 B 9 C 18 D 27答案是B但为什么?
log4(16)=2
log3(4)*log4(8)*log8(m)=log3(m)=2
m=9

log3(4)*log4(8)*log8(m)=log8(4)*log4(8)*log3(m)=1*log3(m)=log3(m)
log4(16)=2,所以log3(m)=2
所以m=9

lg4/lg3*lg8/lg4*lgm/lg8=lgm/lg3=log4(16)=2 so m=3的平方。就是9

log3(4)*log4(8)*log8(m)=log4(16)
{[log2(4)]/[log2(3)]}{[log2(8)]/[log2(4)]}{[log2(m)]/[log2(8)]}=2
{2/[log2(3)]}(2/3){[log2(m)]/3}=2
[loh2(m)]/[log2(3)]=2
log2(m)=2log2(3)=log2(9)
m=9

原式=log3(4)* log3(8)/log3(4) * log3(m) /log3(8) =log4(16)
= log3(m)= log4(16)
m=9