计算:1 (log4 3+log8 3)log3 2 2 loga b×logb c×logc a

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计算:1 (log4 3+log8 3)log3 2 2 loga b×logb c×logc a
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计算:1 (log4 3+log8 3)log3 2 2 loga b×logb c×logc a
计算:1 (log4 3+log8 3)log3 2 2 loga b×logb c×logc a

计算:1 (log4 3+log8 3)log3 2 2 loga b×logb c×logc a
1 (log4 3+log8 3)log3 2
=(lg3/lg4+lg3/lg8)*(lg2/lg3)
=lg3*(1/lg4+1/lg8)*(lg2/lg3)
=(1/lg4+1/lg8)*lg2
=lg2/lg4+lg2/lg8
=lg2/(2*lg2)+lg2/(3*lg2)
=1/2+1/3
=5/6
2 loga b×logb c×logc a
=(lgb/lga)*(lgc/lgb)*(lga/lgc)
=(lgb/lga)*(lgc/lgb)*(lga/lgc)
=1