问题描述: (log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)求值 1个回答 分类:数学 2014-10-15 问题解答: 我来补答 工具1 log(a^n)(M)=(1/n)log(a)(M)(n∈R) 工具2 log(a)(N)=log(b)(N)/log(b)(a)= lnN/lna=lgN/lga工具2‘ log(a)b×log(b)c×log(c)a=1 (log以4为底3+log以8为底3)×(log以3为底5+log以9为底5)×(log以5为底2+log以25为底2)=(1/2log以2为底3+1/3log以2为底3)×(log以3为底5+1/2log以3为底5)×(log以5为底2+1/2log以5为底2)=(5/6log以2为底3)×(3/2log以3为底5)×(3/2log以5为底2)=5ln3/6ln2*3ln5/2ln3*3ln2/2ln5=15/8 展开全文阅读