计算:(log_4 3+log_8 3)(log_3 2+log_ 9 2)
问题描述：
计算:(log_4 3+log_8 3)(log_3 2+log_ 9 2)
答
都化成以10为底
原式=(lg3/lg4+lg3/lg8)(lg2/lg3+lg2/lg9)
=(lg3/2lg2+lg3/3lg2)(lg2/lg3+lg2/2lg3)
=5/6(lg3/lg2)3/2(lg2/lg3)
=5/6×3/2
=5/4