log以4为底27的对数乘以log以5为底的8对数乘以log以3为底25的对数是多少?过程详细点. 30
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log(4)[27]：表示以4为底、27的对数，则：
原式=log(4)[27]×log(5)[8]×log(3)[25]
. =log(2²)[3³]×log(5)[2³]×log(3)[5²]
. =(3/2)log(2)[3]×3log(5)[2]×2log(3)[5]
. =9log(2)[3]×log(5)[2]×log(3)[5]
. =9
原式=log(4)[27]×log(5)[8]×log(3)[25]
. =log(2²)[3³]×log(5)[2³]×log(3)[5²]
. =(3/2)log(2)[3]×3log(5)[2]×2log(3)[5]
. =9log(2)[3]×log(5)[2]×log(3)[5]
. =9
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