log4 27/log2 3等于多少 log4 27/log2 3等于多少要过程
问题描述：
log4 27/log2 3等于多少 log4 27/log2 3等于多少要过程
答
应运换底公式 ㏒a N=(㏒b N)/(㏒b a) 将上述式子转换 (Log4 3 Log8 3)*(Log3 2 Log9 2) =[log4 3 (log4 3)/(log4 8)]×[log3 2 (log3 2/log3 9)] =(log4 3 2/3log4 3)×(log3 2 1/2log3 2) =(5/3log4 3)×(3/2log3 2) =5/3log4 3×3/2×1/2/log4 3 =5/3×3/2×1/2=5/4