计算log2为底25*log3为底1/16log5为底1/9
问题描述:
计算log2为底25*log3为底1/16log5为底1/9
答
=log2(25)*log3(1/16)*log5(1/9)
=log2(25)*log3(16)*log5(9)
=[(2lg5)/(lg2)]*[(4lg2)/(lg3)]*[(2lg3)/(lg5)]
=16
答
log2[25]*log3[1/16]*log5[1/9]
=2log2[5]*(-4)log3[2]*(-2)log5[3]
=16*[(lg5/lg2)*(lg2/lg3)*(lg3/lg5)]
=16