Question

一道高一对数题

求log4(3)×log1/2(4√32)
我觉得那个3无法化简啊。要怎么去掉呢

Answer 1

log4(3)×log1/2(4×√32)
=2log2(3)×[-log2(2^<9/2>)]
=2log2(3)×(-9/2)
=-9log2(3)
=-9×log3/log2
=-9×1.585
=-14.26