Question

有关高中的计算题,我是这么做的：比如log2^5=2^x=5,然后依次全算出来再相乘,我是利用指数函数化对数函数的定理来

Answer 1

（log2 5+log4 0.2)*(log5 2+log25 0.5)

=(log4 25 +log4 0.2)*(log25 4 +log25 0.5)

=(log4 5)*(log25 2)

=0.5*(log2 5)*0.5*(log5 2)

=0.25