问题
填空题
设56a=14,试用a表示log756,log756=______(式子中不得出现对数).
答案
=7,则log756a 2
=156a 2
即log756a-log72=1
即alog756-log72=1,
即a(log77+log78)-log72=1
得log72=1-a 3a-1
log756=1+3log72=1+
=3-3a 3a-1 2 3a-1
故答案为:2 3a-1