log以3为底2的对数+log以9为底2的对数的和,乘以,log以4为底3的对数+log 以8为底3的对数的和,的积前面两个数的和_数学解答

log以3为底2的对数+log以9为底2的对数的和,乘以,log以4为底3的对数+log 以8为底3的对数的和,的积
前面两个数的和乘以后面两个数的和,

人气：272 ℃　时间：2019-09-17 05:00:07

解答

楼上写错了
[log(3,2)+log(9,2)]*[log(4,3)+log(8.3)]
=[log(3,2)+1/2log(3,2)]*[1/2log(2,3)+1/3log(2,3)]
=3/2log(3,2)*5/6log(2,3)
=3/2*5/6*1
=15/12
=5/4