有关对数的计算题(log(4)3+log(8)3)(log(3)2+log(9)2)=?_数学解答

有关对数的计算题
(log(4)3+log(8)3)(log(3)2+log(9)2)=?

人气：273 ℃　时间：2020-01-31 09:03:02

解答

(log(4)3+log(8)3)(log(3)2+log(9)2)
=(lg3/lg4+lg3/lg8)(lg2/lg3+lg2/lg9)
=(lg3/2lg2+lg3/3lg2)(lg2/lg3+lg2/2lg3)
=5lg3/6lg2*3lg2/2lg3
=5/4