(log2(3)+log8(9))x(log3(4)+log9(8)+log3(2))
问题描述:
(log2(3)+log8(9))x(log3(4)+log9(8)+log3(2))
答
用换底公式.
原式=(lg3/lg2 + 2lg3/3lg2)*(2lg2/lg3 +3lg2/2lg3 +lg2/lg3)
=15/2