(log43+log83)(log32+log92)-log1/2乘以32的根号的4次方
问题描述：
(log43+log83)(log32+log92)-log1/2乘以32的根号的4次方
(log4*3+log8*3)(log3*2+log9*2)-log1/2乘以32的根号的4次方
答
用换底公式,原式=(ln3/ln4+ln3/ln8)(ln2/ln3+ln2/ln9)-ln(32的根号的4次方)/ln(1/2)=[ln3/(2*ln2)+ln3/(3*ln2)]*[ln2/ln3+ln2/(2*ln3)]-1/4[ln(2^5)]/(-ln2)=(1/2+1/3)*ln3/ln2*(1+1/2)*ln2/ln3-5/4*ln2/(-ln2)=5/6*...