【(log8 9/log2 3)=?】

网友回答

方法一(log8 9/log2 3)
=(lg9/lg8)/(lg3/lg2)
=(2lg3/3lg2)/(lg3/lg2)
=(2/3)*(lg3/lg2)/(lg3/lg2)
=2/3方法二(log8 9/log2 3)
=log2^3 3^2/log2 3
=(2/3)log2 3/log 2 3
=2/3logm^a n^b
=(b/a)logm n
======以下答案可供参考======
供参考答案1:
(log8 9/log2 3)
=(log8 3^2/log2 3)=(2log8 3/log2 3)=(2log3 2/log3 8)=log8 2供参考答案2:
用换底公式(log8 9/log2 3)
=(lg9/lg8)/(lg3/lg2)
=(2lg3/3lg2)/(lg3/lg2)
=(2/3)*(lg3/lg2)/(lg3/lg2)
=2/3