计算log2为底25*log3为底1/16log5为底1/9

题目

计算log2为底25*log3为底1/16log5为底1/9

答案

log2[25]*log3[1/16]*log5[1/9]
=2log2[5]*(-4)log3[2]*(-2)log5[3]
=16*[(lg5/lg2)*(lg2/lg3)*(lg3/lg5)]
=16