[log2 (125) +log4(25)+log8(5)][log125(8)+log25(4)+log5(2)

问题描述:

[log2 (125) +log4(25)+log8(5)][log125(8)+log25(4)+log5(2)

=[3*log2(5)+log2(5)+1/3*log(5)]*[log5(2)+log5(2)+log5(2)]
=[7/3*log2(5)]*[3log5(2)]
=7*log2(5)*log5(2)
=7